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Finding the Fourth Proportional to 585.94, 878.84 and 153.13

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Solution

The fourth proportional to 585.94, 878.84 and 153.13 is: 229.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.94 : 878.84 = 153.13 : x
  2. Step 2: Convert to fraction form
    585.94/878.84 = 153.13/x
  3. Step 3: Cross multiply
    585.94x = 878.84 × 153.13
  4. Step 4: Simplify right side
    585.94x = 134,577.15
  5. Step 5: Solve for x
    x = 134,577.15/585.94
  6. Step 6: Final answer
    x = 229.68

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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.