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Finding the Fourth Proportional to 1,423.34, 1,963.66 and 863.61

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Solution

The fourth proportional to 1,423.34, 1,963.66 and 863.61 is: 1,191.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,423.34 : 1,963.66 = 863.61 : x
  2. Step 2: Convert to fraction form
    1,423.34/1,963.66 = 863.61/x
  3. Step 3: Cross multiply
    1,423.34x = 1,963.66 × 863.61
  4. Step 4: Simplify right side
    1,423.34x = 1,695,836.41
  5. Step 5: Solve for x
    x = 1,695,836.41/1,423.34
  6. Step 6: Final answer
    x = 1,191.45

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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.