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Finding the Fourth Proportional to 585.53, 878.35 and 152.69

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Solution

The fourth proportional to 585.53, 878.35 and 152.69 is: 229.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.53 : 878.35 = 152.69 : x
  2. Step 2: Convert to fraction form
    585.53/878.35 = 152.69/x
  3. Step 3: Cross multiply
    585.53x = 878.35 × 152.69
  4. Step 4: Simplify right side
    585.53x = 134,115.26
  5. Step 5: Solve for x
    x = 134,115.26/585.53
  6. Step 6: Final answer
    x = 229.05

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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.