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Finding the Fourth Proportional to 630.21, 869.94 and 472.89

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Solution

The fourth proportional to 630.21, 869.94 and 472.89 is: 652.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.21 : 869.94 = 472.89 : x
  2. Step 2: Convert to fraction form
    630.21/869.94 = 472.89/x
  3. Step 3: Cross multiply
    630.21x = 869.94 × 472.89
  4. Step 4: Simplify right side
    630.21x = 411,385.93
  5. Step 5: Solve for x
    x = 411,385.93/630.21
  6. Step 6: Final answer
    x = 652.78

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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.