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Finding the Fourth Proportional to 630.62, 868.70 and 537.06

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Solution

The fourth proportional to 630.62, 868.70 and 537.06 is: 739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.62 : 868.70 = 537.06 : x
  2. Step 2: Convert to fraction form
    630.62/868.70 = 537.06/x
  3. Step 3: Cross multiply
    630.62x = 868.70 × 537.06
  4. Step 4: Simplify right side
    630.62x = 466,544.02
  5. Step 5: Solve for x
    x = 466,544.02/630.62
  6. Step 6: Final answer
    x = 739.82

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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.