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Finding the Fourth Proportional to 585.86, 878.74 and 153.02

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Solution

The fourth proportional to 585.86, 878.74 and 153.02 is: 229.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.86 : 878.74 = 153.02 : x
  2. Step 2: Convert to fraction form
    585.86/878.74 = 153.02/x
  3. Step 3: Cross multiply
    585.86x = 878.74 × 153.02
  4. Step 4: Simplify right side
    585.86x = 134,464.79
  5. Step 5: Solve for x
    x = 134,464.79/585.86
  6. Step 6: Final answer
    x = 229.52

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Double scale
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Similar ratio
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1.5x scale

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.