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Finding the Fourth Proportional to 678.76, 1,015.36 and 542.08

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Solution

The fourth proportional to 678.76, 1,015.36 and 542.08 is: 810.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.76 : 1,015.36 = 542.08 : x
  2. Step 2: Convert to fraction form
    678.76/1,015.36 = 542.08/x
  3. Step 3: Cross multiply
    678.76x = 1,015.36 × 542.08
  4. Step 4: Simplify right side
    678.76x = 550,399.92
  5. Step 5: Solve for x
    x = 550,399.92/678.76
  6. Step 6: Final answer
    x = 810.89

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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.