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Finding the Fourth Proportional to 840.54, 1,158.82 and 690.60

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Solution

The fourth proportional to 840.54, 1,158.82 and 690.60 is: 952.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.54 : 1,158.82 = 690.60 : x
  2. Step 2: Convert to fraction form
    840.54/1,158.82 = 690.60/x
  3. Step 3: Cross multiply
    840.54x = 1,158.82 × 690.60
  4. Step 4: Simplify right side
    840.54x = 800,281.09
  5. Step 5: Solve for x
    x = 800,281.09/840.54
  6. Step 6: Final answer
    x = 952.10

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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.