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Finding the Fourth Proportional to 1,498.30, 2,242.65 and 803.26

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Solution

The fourth proportional to 1,498.30, 2,242.65 and 803.26 is: 1,202.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,498.30 : 2,242.65 = 803.26 : x
  2. Step 2: Convert to fraction form
    1,498.30/2,242.65 = 803.26/x
  3. Step 3: Cross multiply
    1,498.30x = 2,242.65 × 803.26
  4. Step 4: Simplify right side
    1,498.30x = 1,801,431.04
  5. Step 5: Solve for x
    x = 1,801,431.04/1,498.30
  6. Step 6: Final answer
    x = 1,202.32

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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.