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Finding the Fourth Proportional to 613.21, 915.33 and 527.10

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Solution

The fourth proportional to 613.21, 915.33 and 527.10 is: 786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.21 : 915.33 = 527.10 : x
  2. Step 2: Convert to fraction form
    613.21/915.33 = 527.10/x
  3. Step 3: Cross multiply
    613.21x = 915.33 × 527.10
  4. Step 4: Simplify right side
    613.21x = 482,470.44
  5. Step 5: Solve for x
    x = 482,470.44/613.21
  6. Step 6: Final answer
    x = 786.79

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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.