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Finding the Fourth Proportional to 1,053.86, 1,581.25 and 566.35

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Solution

The fourth proportional to 1,053.86, 1,581.25 and 566.35 is: 849.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.86 : 1,581.25 = 566.35 : x
  2. Step 2: Convert to fraction form
    1,053.86/1,581.25 = 566.35/x
  3. Step 3: Cross multiply
    1,053.86x = 1,581.25 × 566.35
  4. Step 4: Simplify right side
    1,053.86x = 895,535.57
  5. Step 5: Solve for x
    x = 895,535.57/1,053.86
  6. Step 6: Final answer
    x = 849.77

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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.