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Finding the Fourth Proportional to 585.76, 878.28 and 342.16

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Solution

The fourth proportional to 585.76, 878.28 and 342.16 is: 513.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.76 : 878.28 = 342.16 : x
  2. Step 2: Convert to fraction form
    585.76/878.28 = 342.16/x
  3. Step 3: Cross multiply
    585.76x = 878.28 × 342.16
  4. Step 4: Simplify right side
    585.76x = 300,512.28
  5. Step 5: Solve for x
    x = 300,512.28/585.76
  6. Step 6: Final answer
    x = 513.03

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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.