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Finding the Fourth Proportional to 613.13, 915.82 and 577.59

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Solution

The fourth proportional to 613.13, 915.82 and 577.59 is: 862.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.13 : 915.82 = 577.59 : x
  2. Step 2: Convert to fraction form
    613.13/915.82 = 577.59/x
  3. Step 3: Cross multiply
    613.13x = 915.82 × 577.59
  4. Step 4: Simplify right side
    613.13x = 528,968.47
  5. Step 5: Solve for x
    x = 528,968.47/613.13
  6. Step 6: Final answer
    x = 862.73

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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.