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Finding the Fourth Proportional to 1,014.28, 1,400.02 and 716.30

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Solution

The fourth proportional to 1,014.28, 1,400.02 and 716.30 is: 988.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014.28 : 1,400.02 = 716.30 : x
  2. Step 2: Convert to fraction form
    1,014.28/1,400.02 = 716.30/x
  3. Step 3: Cross multiply
    1,014.28x = 1,400.02 × 716.30
  4. Step 4: Simplify right side
    1,014.28x = 1,002,834.24
  5. Step 5: Solve for x
    x = 1,002,834.24/1,014.28
  6. Step 6: Final answer
    x = 988.72

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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.