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Finding the Fourth Proportional to 1,006.80, 1,508.85 and 429

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Solution

The fourth proportional to 1,006.80, 1,508.85 and 429 is: 642.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,006.80 : 1,508.85 = 429 : x
  2. Step 2: Convert to fraction form
    1,006.80/1,508.85 = 429/x
  3. Step 3: Cross multiply
    1,006.80x = 1,508.85 × 429
  4. Step 4: Simplify right side
    1,006.80x = 647,296.65
  5. Step 5: Solve for x
    x = 647,296.65/1,006.80
  6. Step 6: Final answer
    x = 642.92

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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.