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Finding the Fourth Proportional to 1,347.52, 2,019.66 and 731.20

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Solution

The fourth proportional to 1,347.52, 2,019.66 and 731.20 is: 1,095.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.52 : 2,019.66 = 731.20 : x
  2. Step 2: Convert to fraction form
    1,347.52/2,019.66 = 731.20/x
  3. Step 3: Cross multiply
    1,347.52x = 2,019.66 × 731.20
  4. Step 4: Simplify right side
    1,347.52x = 1,476,775.39
  5. Step 5: Solve for x
    x = 1,476,775.39/1,347.52
  6. Step 6: Final answer
    x = 1,095.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.