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Finding the Fourth Proportional to 474.30, 706.55 and 432.18

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Solution

The fourth proportional to 474.30, 706.55 and 432.18 is: 643.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.30 : 706.55 = 432.18 : x
  2. Step 2: Convert to fraction form
    474.30/706.55 = 432.18/x
  3. Step 3: Cross multiply
    474.30x = 706.55 × 432.18
  4. Step 4: Simplify right side
    474.30x = 305,354.62
  5. Step 5: Solve for x
    x = 305,354.62/474.30
  6. Step 6: Final answer
    x = 643.80

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.