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Finding the Fourth Proportional to 952.48, 1,428.81 and 458.74

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Solution

The fourth proportional to 952.48, 1,428.81 and 458.74 is: 688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    952.48 : 1,428.81 = 458.74 : x
  2. Step 2: Convert to fraction form
    952.48/1,428.81 = 458.74/x
  3. Step 3: Cross multiply
    952.48x = 1,428.81 × 458.74
  4. Step 4: Simplify right side
    952.48x = 655,452.30
  5. Step 5: Solve for x
    x = 655,452.30/952.48
  6. Step 6: Final answer
    x = 688.15

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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.