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Finding the Fourth Proportional to 585.80, 878.75 and 152.96

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Solution

The fourth proportional to 585.80, 878.75 and 152.96 is: 229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.80 : 878.75 = 152.96 : x
  2. Step 2: Convert to fraction form
    585.80/878.75 = 152.96/x
  3. Step 3: Cross multiply
    585.80x = 878.75 × 152.96
  4. Step 4: Simplify right side
    585.80x = 134,408.44
  5. Step 5: Solve for x
    x = 134,408.44/585.80
  6. Step 6: Final answer
    x = 229.45

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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.