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Finding the Fourth Proportional to 1,353.70, 1,868.11 and 732.70

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Solution

The fourth proportional to 1,353.70, 1,868.11 and 732.70 is: 1,011.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.70 : 1,868.11 = 732.70 : x
  2. Step 2: Convert to fraction form
    1,353.70/1,868.11 = 732.70/x
  3. Step 3: Cross multiply
    1,353.70x = 1,868.11 × 732.70
  4. Step 4: Simplify right side
    1,353.70x = 1,368,764.20
  5. Step 5: Solve for x
    x = 1,368,764.20/1,353.70
  6. Step 6: Final answer
    x = 1,011.13

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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.