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Finding the Fourth Proportional to 1,542.91, 2,315.27 and 569.69

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Solution

The fourth proportional to 1,542.91, 2,315.27 and 569.69 is: 854.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,542.91 : 2,315.27 = 569.69 : x
  2. Step 2: Convert to fraction form
    1,542.91/2,315.27 = 569.69/x
  3. Step 3: Cross multiply
    1,542.91x = 2,315.27 × 569.69
  4. Step 4: Simplify right side
    1,542.91x = 1,318,986.17
  5. Step 5: Solve for x
    x = 1,318,986.17/1,542.91
  6. Step 6: Final answer
    x = 854.87

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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.