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Finding the Fourth Proportional to 697.72, 1,045.66 and 624.16

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Solution

The fourth proportional to 697.72, 1,045.66 and 624.16 is: 935.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.72 : 1,045.66 = 624.16 : x
  2. Step 2: Convert to fraction form
    697.72/1,045.66 = 624.16/x
  3. Step 3: Cross multiply
    697.72x = 1,045.66 × 624.16
  4. Step 4: Simplify right side
    697.72x = 652,659.15
  5. Step 5: Solve for x
    x = 652,659.15/697.72
  6. Step 6: Final answer
    x = 935.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.