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Finding the Fourth Proportional to 697.28, 960.92 and 500.45

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Solution

The fourth proportional to 697.28, 960.92 and 500.45 is: 689.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.28 : 960.92 = 500.45 : x
  2. Step 2: Convert to fraction form
    697.28/960.92 = 500.45/x
  3. Step 3: Cross multiply
    697.28x = 960.92 × 500.45
  4. Step 4: Simplify right side
    697.28x = 480,885.11
  5. Step 5: Solve for x
    x = 480,885.11/697.28
  6. Step 6: Final answer
    x = 689.66

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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.