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Finding the Fourth Proportional to 552.40, 829.20 and 431.20

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Solution

The fourth proportional to 552.40, 829.20 and 431.20 is: 647.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    552.40 : 829.20 = 431.20 : x
  2. Step 2: Convert to fraction form
    552.40/829.20 = 431.20/x
  3. Step 3: Cross multiply
    552.40x = 829.20 × 431.20
  4. Step 4: Simplify right side
    552.40x = 357,551.04
  5. Step 5: Solve for x
    x = 357,551.04/552.40
  6. Step 6: Final answer
    x = 647.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.