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Finding the Fourth Proportional to 613.49, 915.21 and 596.75

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Solution

The fourth proportional to 613.49, 915.21 and 596.75 is: 890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.49 : 915.21 = 596.75 : x
  2. Step 2: Convert to fraction form
    613.49/915.21 = 596.75/x
  3. Step 3: Cross multiply
    613.49x = 915.21 × 596.75
  4. Step 4: Simplify right side
    613.49x = 546,146.99
  5. Step 5: Solve for x
    x = 546,146.99/613.49
  6. Step 6: Final answer
    x = 890.24

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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.