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Finding the Fourth Proportional to 585.29, 878.12 and 409.77

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Solution

The fourth proportional to 585.29, 878.12 and 409.77 is: 614.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.29 : 878.12 = 409.77 : x
  2. Step 2: Convert to fraction form
    585.29/878.12 = 409.77/x
  3. Step 3: Cross multiply
    585.29x = 878.12 × 409.77
  4. Step 4: Simplify right side
    585.29x = 359,825.18
  5. Step 5: Solve for x
    x = 359,825.18/585.29
  6. Step 6: Final answer
    x = 614.79

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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.