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Finding the Fourth Proportional to 840.31, 1,159.14 and 525.44

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Solution

The fourth proportional to 840.31, 1,159.14 and 525.44 is: 724.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    840.31 : 1,159.14 = 525.44 : x
  2. Step 2: Convert to fraction form
    840.31/1,159.14 = 525.44/x
  3. Step 3: Cross multiply
    840.31x = 1,159.14 × 525.44
  4. Step 4: Simplify right side
    840.31x = 609,058.52
  5. Step 5: Solve for x
    x = 609,058.52/840.31
  6. Step 6: Final answer
    x = 724.80

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Double scale
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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.