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Finding the Fourth Proportional to 585.29, 878.52 and 420.95

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Solution

The fourth proportional to 585.29, 878.52 and 420.95 is: 631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.29 : 878.52 = 420.95 : x
  2. Step 2: Convert to fraction form
    585.29/878.52 = 420.95/x
  3. Step 3: Cross multiply
    585.29x = 878.52 × 420.95
  4. Step 4: Simplify right side
    585.29x = 369,812.99
  5. Step 5: Solve for x
    x = 369,812.99/585.29
  6. Step 6: Final answer
    x = 631.85

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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.