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Finding the Fourth Proportional to 878.66, 1,317.80 and 293.70

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Solution

The fourth proportional to 878.66, 1,317.80 and 293.70 is: 440.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.66 : 1,317.80 = 293.70 : x
  2. Step 2: Convert to fraction form
    878.66/1,317.80 = 293.70/x
  3. Step 3: Cross multiply
    878.66x = 1,317.80 × 293.70
  4. Step 4: Simplify right side
    878.66x = 387,038.59
  5. Step 5: Solve for x
    x = 387,038.59/878.66
  6. Step 6: Final answer
    x = 440.49

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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.