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Finding the Fourth Proportional to 966.09, 1,446.02 and 503.21

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Solution

The fourth proportional to 966.09, 1,446.02 and 503.21 is: 753.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.09 : 1,446.02 = 503.21 : x
  2. Step 2: Convert to fraction form
    966.09/1,446.02 = 503.21/x
  3. Step 3: Cross multiply
    966.09x = 1,446.02 × 503.21
  4. Step 4: Simplify right side
    966.09x = 727,654.71
  5. Step 5: Solve for x
    x = 727,654.71/966.09
  6. Step 6: Final answer
    x = 753.19

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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.