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Finding the Fourth Proportional to 1,073.46, 1,482.27 and 741.78

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Solution

The fourth proportional to 1,073.46, 1,482.27 and 741.78 is: 1,024.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,073.46 : 1,482.27 = 741.78 : x
  2. Step 2: Convert to fraction form
    1,073.46/1,482.27 = 741.78/x
  3. Step 3: Cross multiply
    1,073.46x = 1,482.27 × 741.78
  4. Step 4: Simplify right side
    1,073.46x = 1,099,518.24
  5. Step 5: Solve for x
    x = 1,099,518.24/1,073.46
  6. Step 6: Final answer
    x = 1,024.27

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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.