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Finding the Fourth Proportional to 951.80, 1,428.57 and 707.58

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Solution

The fourth proportional to 951.80, 1,428.57 and 707.58 is: 1,062.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.80 : 1,428.57 = 707.58 : x
  2. Step 2: Convert to fraction form
    951.80/1,428.57 = 707.58/x
  3. Step 3: Cross multiply
    951.80x = 1,428.57 × 707.58
  4. Step 4: Simplify right side
    951.80x = 1,010,827.56
  5. Step 5: Solve for x
    x = 1,010,827.56/951.80
  6. Step 6: Final answer
    x = 1,062.02

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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.