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Finding the Fourth Proportional to 630.27, 869.81 and 474.75

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Solution

The fourth proportional to 630.27, 869.81 and 474.75 is: 655.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.27 : 869.81 = 474.75 : x
  2. Step 2: Convert to fraction form
    630.27/869.81 = 474.75/x
  3. Step 3: Cross multiply
    630.27x = 869.81 × 474.75
  4. Step 4: Simplify right side
    630.27x = 412,939.92
  5. Step 5: Solve for x
    x = 412,939.92/630.27
  6. Step 6: Final answer
    x = 655.18

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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.