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Finding the Fourth Proportional to 1,342.03, 1,851.90 and 752.44

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Solution

The fourth proportional to 1,342.03, 1,851.90 and 752.44 is: 1,038.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.03 : 1,851.90 = 752.44 : x
  2. Step 2: Convert to fraction form
    1,342.03/1,851.90 = 752.44/x
  3. Step 3: Cross multiply
    1,342.03x = 1,851.90 × 752.44
  4. Step 4: Simplify right side
    1,342.03x = 1,393,443.64
  5. Step 5: Solve for x
    x = 1,393,443.64/1,342.03
  6. Step 6: Final answer
    x = 1,038.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.