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Finding the Fourth Proportional to 968.98, 1,453.98 and 916.71

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Solution

The fourth proportional to 968.98, 1,453.98 and 916.71 is: 1,375.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.98 : 1,453.98 = 916.71 : x
  2. Step 2: Convert to fraction form
    968.98/1,453.98 = 916.71/x
  3. Step 3: Cross multiply
    968.98x = 1,453.98 × 916.71
  4. Step 4: Simplify right side
    968.98x = 1,332,878.01
  5. Step 5: Solve for x
    x = 1,332,878.01/968.98
  6. Step 6: Final answer
    x = 1,375.55

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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.