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Finding the Fourth Proportional to 1,542.11, 2,312.45 and 567.53

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Solution

The fourth proportional to 1,542.11, 2,312.45 and 567.53 is: 851.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.11 : 2,312.45 = 567.53 : x
  2. Step 2: Convert to fraction form
    1,542.11/2,312.45 = 567.53/x
  3. Step 3: Cross multiply
    1,542.11x = 2,312.45 × 567.53
  4. Step 4: Simplify right side
    1,542.11x = 1,312,381.91
  5. Step 5: Solve for x
    x = 1,312,381.91/1,542.11
  6. Step 6: Final answer
    x = 851.03

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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.