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Finding the Fourth Proportional to 840.97, 1,161.12 and 752.19

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Solution

The fourth proportional to 840.97, 1,161.12 and 752.19 is: 1,038.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.97 : 1,161.12 = 752.19 : x
  2. Step 2: Convert to fraction form
    840.97/1,161.12 = 752.19/x
  3. Step 3: Cross multiply
    840.97x = 1,161.12 × 752.19
  4. Step 4: Simplify right side
    840.97x = 873,382.85
  5. Step 5: Solve for x
    x = 873,382.85/840.97
  6. Step 6: Final answer
    x = 1,038.54

Related Problems

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Half scale
Find fourth proportional to 1,681.94, 2,322.24 and 1,504.38
Double scale
Find fourth proportional to 841.97, 1,162.50 and 753.19
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.