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Finding the Fourth Proportional to 2,291.83, 3,437.99 and 731.28

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Solution

The fourth proportional to 2,291.83, 3,437.99 and 731.28 is: 1,097.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291.83 : 3,437.99 = 731.28 : x
  2. Step 2: Convert to fraction form
    2,291.83/3,437.99 = 731.28/x
  3. Step 3: Cross multiply
    2,291.83x = 3,437.99 × 731.28
  4. Step 4: Simplify right side
    2,291.83x = 2,514,145.31
  5. Step 5: Solve for x
    x = 2,514,145.31/2,291.83
  6. Step 6: Final answer
    x = 1,097.00

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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.