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Finding the Fourth Proportional to 680.89, 1,019.16 and 542.38

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Solution

The fourth proportional to 680.89, 1,019.16 and 542.38 is: 811.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.89 : 1,019.16 = 542.38 : x
  2. Step 2: Convert to fraction form
    680.89/1,019.16 = 542.38/x
  3. Step 3: Cross multiply
    680.89x = 1,019.16 × 542.38
  4. Step 4: Simplify right side
    680.89x = 552,772.00
  5. Step 5: Solve for x
    x = 552,772.00/680.89
  6. Step 6: Final answer
    x = 811.84

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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.