Home / 1,655.26-2,483.87-731.57

Finding the Fourth Proportional to 1,655.26, 2,483.87 and 731.57

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Solution

The fourth proportional to 1,655.26, 2,483.87 and 731.57 is: 1,097.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.26 : 2,483.87 = 731.57 : x
  2. Step 2: Convert to fraction form
    1,655.26/2,483.87 = 731.57/x
  3. Step 3: Cross multiply
    1,655.26x = 2,483.87 × 731.57
  4. Step 4: Simplify right side
    1,655.26x = 1,817,108.70
  5. Step 5: Solve for x
    x = 1,817,108.70/1,655.26
  6. Step 6: Final answer
    x = 1,097.78

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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.