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Finding the Fourth Proportional to 586.32, 878.48 and 400.96

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Solution

The fourth proportional to 586.32, 878.48 and 400.96 is: 600.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    586.32 : 878.48 = 400.96 : x
  2. Step 2: Convert to fraction form
    586.32/878.48 = 400.96/x
  3. Step 3: Cross multiply
    586.32x = 878.48 × 400.96
  4. Step 4: Simplify right side
    586.32x = 352,235.34
  5. Step 5: Solve for x
    x = 352,235.34/586.32
  6. Step 6: Final answer
    x = 600.76

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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.