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Finding the Fourth Proportional to 586.32, 878.40 and 342.78

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Solution

The fourth proportional to 586.32, 878.40 and 342.78 is: 513.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.32 : 878.40 = 342.78 : x
  2. Step 2: Convert to fraction form
    586.32/878.40 = 342.78/x
  3. Step 3: Cross multiply
    586.32x = 878.40 × 342.78
  4. Step 4: Simplify right side
    586.32x = 301,097.95
  5. Step 5: Solve for x
    x = 301,097.95/586.32
  6. Step 6: Final answer
    x = 513.54

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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.