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Finding the Fourth Proportional to 585.60, 879.30 and 342.60

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Solution

The fourth proportional to 585.60, 879.30 and 342.60 is: 514.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.60 : 879.30 = 342.60 : x
  2. Step 2: Convert to fraction form
    585.60/879.30 = 342.60/x
  3. Step 3: Cross multiply
    585.60x = 879.30 × 342.60
  4. Step 4: Simplify right side
    585.60x = 301,248.18
  5. Step 5: Solve for x
    x = 301,248.18/585.60
  6. Step 6: Final answer
    x = 514.43

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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.