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Finding the Fourth Proportional to 963.68, 1,330.26 and 653.72

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Solution

The fourth proportional to 963.68, 1,330.26 and 653.72 is: 902.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.68 : 1,330.26 = 653.72 : x
  2. Step 2: Convert to fraction form
    963.68/1,330.26 = 653.72/x
  3. Step 3: Cross multiply
    963.68x = 1,330.26 × 653.72
  4. Step 4: Simplify right side
    963.68x = 869,617.57
  5. Step 5: Solve for x
    x = 869,617.57/963.68
  6. Step 6: Final answer
    x = 902.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.