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Finding the Fourth Proportional to 878.45, 1,317.92 and 462

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Solution

The fourth proportional to 878.45, 1,317.92 and 462 is: 693.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.45 : 1,317.92 = 462 : x
  2. Step 2: Convert to fraction form
    878.45/1,317.92 = 462/x
  3. Step 3: Cross multiply
    878.45x = 1,317.92 × 462
  4. Step 4: Simplify right side
    878.45x = 608,876.73
  5. Step 5: Solve for x
    x = 608,876.73/878.45
  6. Step 6: Final answer
    x = 693.13

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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.