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Finding the Fourth Proportional to 585.73, 879.28 and 411.68

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Solution

The fourth proportional to 585.73, 879.28 and 411.68 is: 618.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.73 : 879.28 = 411.68 : x
  2. Step 2: Convert to fraction form
    585.73/879.28 = 411.68/x
  3. Step 3: Cross multiply
    585.73x = 879.28 × 411.68
  4. Step 4: Simplify right side
    585.73x = 361,981.99
  5. Step 5: Solve for x
    x = 361,981.99/585.73
  6. Step 6: Final answer
    x = 618.00

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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.