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Finding the Fourth Proportional to 680.90, 939.54 and 432.20

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Solution

The fourth proportional to 680.90, 939.54 and 432.20 is: 596.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.90 : 939.54 = 432.20 : x
  2. Step 2: Convert to fraction form
    680.90/939.54 = 432.20/x
  3. Step 3: Cross multiply
    680.90x = 939.54 × 432.20
  4. Step 4: Simplify right side
    680.90x = 406,069.19
  5. Step 5: Solve for x
    x = 406,069.19/680.90
  6. Step 6: Final answer
    x = 596.37

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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.