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Finding the Fourth Proportional to 1,044.87, 1,566.37 and 429.09

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Solution

The fourth proportional to 1,044.87, 1,566.37 and 429.09 is: 643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.87 : 1,566.37 = 429.09 : x
  2. Step 2: Convert to fraction form
    1,044.87/1,566.37 = 429.09/x
  3. Step 3: Cross multiply
    1,044.87x = 1,566.37 × 429.09
  4. Step 4: Simplify right side
    1,044.87x = 672,113.70
  5. Step 5: Solve for x
    x = 672,113.70/1,044.87
  6. Step 6: Final answer
    x = 643.25

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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.