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Finding the Fourth Proportional to 1,044.71, 1,565.25 and 556.28

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Solution

The fourth proportional to 1,044.71, 1,565.25 and 556.28 is: 833.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.71 : 1,565.25 = 556.28 : x
  2. Step 2: Convert to fraction form
    1,044.71/1,565.25 = 556.28/x
  3. Step 3: Cross multiply
    1,044.71x = 1,565.25 × 556.28
  4. Step 4: Simplify right side
    1,044.71x = 870,709.44
  5. Step 5: Solve for x
    x = 870,709.44/1,044.71
  6. Step 6: Final answer
    x = 833.45

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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.