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Finding the Fourth Proportional to 613.54, 919.68 and 458.38

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Solution

The fourth proportional to 613.54, 919.68 and 458.38 is: 687.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.54 : 919.68 = 458.38 : x
  2. Step 2: Convert to fraction form
    613.54/919.68 = 458.38/x
  3. Step 3: Cross multiply
    613.54x = 919.68 × 458.38
  4. Step 4: Simplify right side
    613.54x = 421,562.92
  5. Step 5: Solve for x
    x = 421,562.92/613.54
  6. Step 6: Final answer
    x = 687.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.