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Finding the Fourth Proportional to 678.55, 941.20 and 655.24

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Solution

The fourth proportional to 678.55, 941.20 and 655.24 is: 908.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.55 : 941.20 = 655.24 : x
  2. Step 2: Convert to fraction form
    678.55/941.20 = 655.24/x
  3. Step 3: Cross multiply
    678.55x = 941.20 × 655.24
  4. Step 4: Simplify right side
    678.55x = 616,711.89
  5. Step 5: Solve for x
    x = 616,711.89/678.55
  6. Step 6: Final answer
    x = 908.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.