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Finding the Fourth Proportional to 953.46, 1,422.87 and 947.99

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Solution

The fourth proportional to 953.46, 1,422.87 and 947.99 is: 1,414.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.46 : 1,422.87 = 947.99 : x
  2. Step 2: Convert to fraction form
    953.46/1,422.87 = 947.99/x
  3. Step 3: Cross multiply
    953.46x = 1,422.87 × 947.99
  4. Step 4: Simplify right side
    953.46x = 1,348,859.42
  5. Step 5: Solve for x
    x = 1,348,859.42/953.46
  6. Step 6: Final answer
    x = 1,414.70

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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.