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Finding the Fourth Proportional to 913.87, 1,369.19 and 653.46

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Solution

The fourth proportional to 913.87, 1,369.19 and 653.46 is: 979.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.87 : 1,369.19 = 653.46 : x
  2. Step 2: Convert to fraction form
    913.87/1,369.19 = 653.46/x
  3. Step 3: Cross multiply
    913.87x = 1,369.19 × 653.46
  4. Step 4: Simplify right side
    913.87x = 894,700.78
  5. Step 5: Solve for x
    x = 894,700.78/913.87
  6. Step 6: Final answer
    x = 979.02

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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.