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Finding the Fourth Proportional to 1,341.46, 1,851.18 and 735.79

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Solution

The fourth proportional to 1,341.46, 1,851.18 and 735.79 is: 1,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,341.46 : 1,851.18 = 735.79 : x
  2. Step 2: Convert to fraction form
    1,341.46/1,851.18 = 735.79/x
  3. Step 3: Cross multiply
    1,341.46x = 1,851.18 × 735.79
  4. Step 4: Simplify right side
    1,341.46x = 1,362,079.73
  5. Step 5: Solve for x
    x = 1,362,079.73/1,341.46
  6. Step 6: Final answer
    x = 1,015.37

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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.