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Finding the Fourth Proportional to 655.12, 903.24 and 433.66

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Solution

The fourth proportional to 655.12, 903.24 and 433.66 is: 597.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.12 : 903.24 = 433.66 : x
  2. Step 2: Convert to fraction form
    655.12/903.24 = 433.66/x
  3. Step 3: Cross multiply
    655.12x = 903.24 × 433.66
  4. Step 4: Simplify right side
    655.12x = 391,699.06
  5. Step 5: Solve for x
    x = 391,699.06/655.12
  6. Step 6: Final answer
    x = 597.90

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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.