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Finding the Fourth Proportional to 1,044.07, 1,565.16 and 811.69

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Solution

The fourth proportional to 1,044.07, 1,565.16 and 811.69 is: 1,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.07 : 1,565.16 = 811.69 : x
  2. Step 2: Convert to fraction form
    1,044.07/1,565.16 = 811.69/x
  3. Step 3: Cross multiply
    1,044.07x = 1,565.16 × 811.69
  4. Step 4: Simplify right side
    1,044.07x = 1,270,417.76
  5. Step 5: Solve for x
    x = 1,270,417.76/1,044.07
  6. Step 6: Final answer
    x = 1,216.80

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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.