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Finding the Fourth Proportional to 1,053.06, 1,581.20 and 567.06

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Solution

The fourth proportional to 1,053.06, 1,581.20 and 567.06 is: 851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,053.06 : 1,581.20 = 567.06 : x
  2. Step 2: Convert to fraction form
    1,053.06/1,581.20 = 567.06/x
  3. Step 3: Cross multiply
    1,053.06x = 1,581.20 × 567.06
  4. Step 4: Simplify right side
    1,053.06x = 896,635.27
  5. Step 5: Solve for x
    x = 896,635.27/1,053.06
  6. Step 6: Final answer
    x = 851.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.