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Finding the Fourth Proportional to 578.81, 869.12 and 457.61

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Solution

The fourth proportional to 578.81, 869.12 and 457.61 is: 687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.81 : 869.12 = 457.61 : x
  2. Step 2: Convert to fraction form
    578.81/869.12 = 457.61/x
  3. Step 3: Cross multiply
    578.81x = 869.12 × 457.61
  4. Step 4: Simplify right side
    578.81x = 397,718.00
  5. Step 5: Solve for x
    x = 397,718.00/578.81
  6. Step 6: Final answer
    x = 687.14

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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.