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Finding the Fourth Proportional to 878.79, 1,212.80 and 542.78

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Solution

The fourth proportional to 878.79, 1,212.80 and 542.78 is: 749.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.79 : 1,212.80 = 542.78 : x
  2. Step 2: Convert to fraction form
    878.79/1,212.80 = 542.78/x
  3. Step 3: Cross multiply
    878.79x = 1,212.80 × 542.78
  4. Step 4: Simplify right side
    878.79x = 658,274.81
  5. Step 5: Solve for x
    x = 658,274.81/878.79
  6. Step 6: Final answer
    x = 749.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.