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Finding the Fourth Proportional to 963.53, 1,438.33 and 846.76

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Solution

The fourth proportional to 963.53, 1,438.33 and 846.76 is: 1,264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.53 : 1,438.33 = 846.76 : x
  2. Step 2: Convert to fraction form
    963.53/1,438.33 = 846.76/x
  3. Step 3: Cross multiply
    963.53x = 1,438.33 × 846.76
  4. Step 4: Simplify right side
    963.53x = 1,217,920.31
  5. Step 5: Solve for x
    x = 1,217,920.31/963.53
  6. Step 6: Final answer
    x = 1,264.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.