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Finding the Fourth Proportional to 668.40, 997.32 and 560.40

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Solution

The fourth proportional to 668.40, 997.32 and 560.40 is: 836.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    668.40 : 997.32 = 560.40 : x
  2. Step 2: Convert to fraction form
    668.40/997.32 = 560.40/x
  3. Step 3: Cross multiply
    668.40x = 997.32 × 560.40
  4. Step 4: Simplify right side
    668.40x = 558,898.13
  5. Step 5: Solve for x
    x = 558,898.13/668.40
  6. Step 6: Final answer
    x = 836.17

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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.