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Finding the Fourth Proportional to 952.03, 1,427.02 and 457.73

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Solution

The fourth proportional to 952.03, 1,427.02 and 457.73 is: 686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.03 : 1,427.02 = 457.73 : x
  2. Step 2: Convert to fraction form
    952.03/1,427.02 = 457.73/x
  3. Step 3: Cross multiply
    952.03x = 1,427.02 × 457.73
  4. Step 4: Simplify right side
    952.03x = 653,191.95
  5. Step 5: Solve for x
    x = 653,191.95/952.03
  6. Step 6: Final answer
    x = 686.11

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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.