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Finding the Fourth Proportional to 1,341.54, 1,851.44 and 752.19

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Solution

The fourth proportional to 1,341.54, 1,851.44 and 752.19 is: 1,038.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.54 : 1,851.44 = 752.19 : x
  2. Step 2: Convert to fraction form
    1,341.54/1,851.44 = 752.19/x
  3. Step 3: Cross multiply
    1,341.54x = 1,851.44 × 752.19
  4. Step 4: Simplify right side
    1,341.54x = 1,392,630.24
  5. Step 5: Solve for x
    x = 1,392,630.24/1,341.54
  6. Step 6: Final answer
    x = 1,038.08

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Half scale
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Double scale
Find fourth proportional to 1,342.54, 1,852.82 and 753.19
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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.