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Finding the Fourth Proportional to 532.17, 800.08 and 430.21

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Solution

The fourth proportional to 532.17, 800.08 and 430.21 is: 646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.17 : 800.08 = 430.21 : x
  2. Step 2: Convert to fraction form
    532.17/800.08 = 430.21/x
  3. Step 3: Cross multiply
    532.17x = 800.08 × 430.21
  4. Step 4: Simplify right side
    532.17x = 344,202.34
  5. Step 5: Solve for x
    x = 344,202.34/532.17
  6. Step 6: Final answer
    x = 646.79

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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.