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Finding the Fourth Proportional to 582.60, 874.34 and 408.13

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Solution

The fourth proportional to 582.60, 874.34 and 408.13 is: 612.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.60 : 874.34 = 408.13 : x
  2. Step 2: Convert to fraction form
    582.60/874.34 = 408.13/x
  3. Step 3: Cross multiply
    582.60x = 874.34 × 408.13
  4. Step 4: Simplify right side
    582.60x = 356,844.38
  5. Step 5: Solve for x
    x = 356,844.38/582.60
  6. Step 6: Final answer
    x = 612.50

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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.