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Finding the Fourth Proportional to 1,655.33, 2,483.53 and 731.12

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Solution

The fourth proportional to 1,655.33, 2,483.53 and 731.12 is: 1,096.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,655.33 : 2,483.53 = 731.12 : x
  2. Step 2: Convert to fraction form
    1,655.33/2,483.53 = 731.12/x
  3. Step 3: Cross multiply
    1,655.33x = 2,483.53 × 731.12
  4. Step 4: Simplify right side
    1,655.33x = 1,815,744.21
  5. Step 5: Solve for x
    x = 1,815,744.21/1,655.33
  6. Step 6: Final answer
    x = 1,096.91

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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.