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Finding the Fourth Proportional to 963.08, 1,438.13 and 957.32

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Solution

The fourth proportional to 963.08, 1,438.13 and 957.32 is: 1,429.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.08 : 1,438.13 = 957.32 : x
  2. Step 2: Convert to fraction form
    963.08/1,438.13 = 957.32/x
  3. Step 3: Cross multiply
    963.08x = 1,438.13 × 957.32
  4. Step 4: Simplify right side
    963.08x = 1,376,750.61
  5. Step 5: Solve for x
    x = 1,376,750.61/963.08
  6. Step 6: Final answer
    x = 1,429.53

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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.