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Finding the Fourth Proportional to 613.16, 915.34 and 520.88

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Solution

The fourth proportional to 613.16, 915.34 and 520.88 is: 777.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.16 : 915.34 = 520.88 : x
  2. Step 2: Convert to fraction form
    613.16/915.34 = 520.88/x
  3. Step 3: Cross multiply
    613.16x = 915.34 × 520.88
  4. Step 4: Simplify right side
    613.16x = 476,782.30
  5. Step 5: Solve for x
    x = 476,782.30/613.16
  6. Step 6: Final answer
    x = 777.58

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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.