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Finding the Fourth Proportional to 582.72, 872.03 and 459.70

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Solution

The fourth proportional to 582.72, 872.03 and 459.70 is: 687.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.72 : 872.03 = 459.70 : x
  2. Step 2: Convert to fraction form
    582.72/872.03 = 459.70/x
  3. Step 3: Cross multiply
    582.72x = 872.03 × 459.70
  4. Step 4: Simplify right side
    582.72x = 400,876.07
  5. Step 5: Solve for x
    x = 400,876.07/582.72
  6. Step 6: Final answer
    x = 687.94

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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.