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Finding the Fourth Proportional to 613.52, 915.25 and 569.33

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Solution

The fourth proportional to 613.52, 915.25 and 569.33 is: 849.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.52 : 915.25 = 569.33 : x
  2. Step 2: Convert to fraction form
    613.52/915.25 = 569.33/x
  3. Step 3: Cross multiply
    613.52x = 915.25 × 569.33
  4. Step 4: Simplify right side
    613.52x = 521,077.78
  5. Step 5: Solve for x
    x = 521,077.78/613.52
  6. Step 6: Final answer
    x = 849.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.