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Finding the Fourth Proportional to 1,068, 1,472.36 and 713.94

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Solution

The fourth proportional to 1,068, 1,472.36 and 713.94 is: 984.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068 : 1,472.36 = 713.94 : x
  2. Step 2: Convert to fraction form
    1,068/1,472.36 = 713.94/x
  3. Step 3: Cross multiply
    1,068x = 1,472.36 × 713.94
  4. Step 4: Simplify right side
    1,068x = 1,051,176.70
  5. Step 5: Solve for x
    x = 1,051,176.70/1,068
  6. Step 6: Final answer
    x = 984.25

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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.