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Finding the Fourth Proportional to 951.98, 1,426.79 and 431.83

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Solution

The fourth proportional to 951.98, 1,426.79 and 431.83 is: 647.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.98 : 1,426.79 = 431.83 : x
  2. Step 2: Convert to fraction form
    951.98/1,426.79 = 431.83/x
  3. Step 3: Cross multiply
    951.98x = 1,426.79 × 431.83
  4. Step 4: Simplify right side
    951.98x = 616,132.37
  5. Step 5: Solve for x
    x = 616,132.37/951.98
  6. Step 6: Final answer
    x = 647.21

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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.