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Finding the Fourth Proportional to 1,053.19, 1,580.82 and 567.28

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Solution

The fourth proportional to 1,053.19, 1,580.82 and 567.28 is: 851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.19 : 1,580.82 = 567.28 : x
  2. Step 2: Convert to fraction form
    1,053.19/1,580.82 = 567.28/x
  3. Step 3: Cross multiply
    1,053.19x = 1,580.82 × 567.28
  4. Step 4: Simplify right side
    1,053.19x = 896,767.57
  5. Step 5: Solve for x
    x = 896,767.57/1,053.19
  6. Step 6: Final answer
    x = 851.48

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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.