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Finding the Fourth Proportional to 630.52, 869.95 and 381.95

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Solution

The fourth proportional to 630.52, 869.95 and 381.95 is: 526.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.52 : 869.95 = 381.95 : x
  2. Step 2: Convert to fraction form
    630.52/869.95 = 381.95/x
  3. Step 3: Cross multiply
    630.52x = 869.95 × 381.95
  4. Step 4: Simplify right side
    630.52x = 332,277.40
  5. Step 5: Solve for x
    x = 332,277.40/630.52
  6. Step 6: Final answer
    x = 526.99

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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.