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Finding the Fourth Proportional to 966.42, 1,332.54 and 678.24

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Solution

The fourth proportional to 966.42, 1,332.54 and 678.24 is: 935.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    966.42 : 1,332.54 = 678.24 : x
  2. Step 2: Convert to fraction form
    966.42/1,332.54 = 678.24/x
  3. Step 3: Cross multiply
    966.42x = 1,332.54 × 678.24
  4. Step 4: Simplify right side
    966.42x = 903,781.93
  5. Step 5: Solve for x
    x = 903,781.93/966.42
  6. Step 6: Final answer
    x = 935.19

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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.