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Finding the Fourth Proportional to 655.38, 986.97 and 591.12

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Solution

The fourth proportional to 655.38, 986.97 and 591.12 is: 890.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    655.38 : 986.97 = 591.12 : x
  2. Step 2: Convert to fraction form
    655.38/986.97 = 591.12/x
  3. Step 3: Cross multiply
    655.38x = 986.97 × 591.12
  4. Step 4: Simplify right side
    655.38x = 583,417.71
  5. Step 5: Solve for x
    x = 583,417.71/655.38
  6. Step 6: Final answer
    x = 890.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.