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Finding the Fourth Proportional to 655.47, 905.04 and 431.49

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Solution

The fourth proportional to 655.47, 905.04 and 431.49 is: 595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.47 : 905.04 = 431.49 : x
  2. Step 2: Convert to fraction form
    655.47/905.04 = 431.49/x
  3. Step 3: Cross multiply
    655.47x = 905.04 × 431.49
  4. Step 4: Simplify right side
    655.47x = 390,515.71
  5. Step 5: Solve for x
    x = 390,515.71/655.47
  6. Step 6: Final answer
    x = 595.78

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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.