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Finding the Fourth Proportional to 963.84, 1,329.42 and 931.69

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Solution

The fourth proportional to 963.84, 1,329.42 and 931.69 is: 1,285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    963.84 : 1,329.42 = 931.69 : x
  2. Step 2: Convert to fraction form
    963.84/1,329.42 = 931.69/x
  3. Step 3: Cross multiply
    963.84x = 1,329.42 × 931.69
  4. Step 4: Simplify right side
    963.84x = 1,238,607.32
  5. Step 5: Solve for x
    x = 1,238,607.32/963.84
  6. Step 6: Final answer
    x = 1,285.08

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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.