Home / 1,347.80-2,022.05-731.35

Finding the Fourth Proportional to 1,347.80, 2,022.05 and 731.35

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Solution

The fourth proportional to 1,347.80, 2,022.05 and 731.35 is: 1,097.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,347.80 : 2,022.05 = 731.35 : x
  2. Step 2: Convert to fraction form
    1,347.80/2,022.05 = 731.35/x
  3. Step 3: Cross multiply
    1,347.80x = 2,022.05 × 731.35
  4. Step 4: Simplify right side
    1,347.80x = 1,478,823.04
  5. Step 5: Solve for x
    x = 1,478,823.04/1,347.80
  6. Step 6: Final answer
    x = 1,097.21

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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.