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Finding the Fourth Proportional to 1,492.97, 2,239.46 and 397.28

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Solution

The fourth proportional to 1,492.97, 2,239.46 and 397.28 is: 595.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,492.97 : 2,239.46 = 397.28 : x
  2. Step 2: Convert to fraction form
    1,492.97/2,239.46 = 397.28/x
  3. Step 3: Cross multiply
    1,492.97x = 2,239.46 × 397.28
  4. Step 4: Simplify right side
    1,492.97x = 889,699.26
  5. Step 5: Solve for x
    x = 889,699.26/1,492.97
  6. Step 6: Final answer
    x = 595.92

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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.