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Finding the Fourth Proportional to 1,153.68, 1,731.03 and 569.27

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Solution

The fourth proportional to 1,153.68, 1,731.03 and 569.27 is: 854.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.68 : 1,731.03 = 569.27 : x
  2. Step 2: Convert to fraction form
    1,153.68/1,731.03 = 569.27/x
  3. Step 3: Cross multiply
    1,153.68x = 1,731.03 × 569.27
  4. Step 4: Simplify right side
    1,153.68x = 985,417.47
  5. Step 5: Solve for x
    x = 985,417.47/1,153.68
  6. Step 6: Final answer
    x = 854.15

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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.