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Finding the Fourth Proportional to 1,340.02, 1,849.11 and 742.54

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Solution

The fourth proportional to 1,340.02, 1,849.11 and 742.54 is: 1,024.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,340.02 : 1,849.11 = 742.54 : x
  2. Step 2: Convert to fraction form
    1,340.02/1,849.11 = 742.54/x
  3. Step 3: Cross multiply
    1,340.02x = 1,849.11 × 742.54
  4. Step 4: Simplify right side
    1,340.02x = 1,373,038.14
  5. Step 5: Solve for x
    x = 1,373,038.14/1,340.02
  6. Step 6: Final answer
    x = 1,024.64

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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.