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Finding the Fourth Proportional to 1,044.12, 1,440.56 and 733.08

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Solution

The fourth proportional to 1,044.12, 1,440.56 and 733.08 is: 1,011.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,044.12 : 1,440.56 = 733.08 : x
  2. Step 2: Convert to fraction form
    1,044.12/1,440.56 = 733.08/x
  3. Step 3: Cross multiply
    1,044.12x = 1,440.56 × 733.08
  4. Step 4: Simplify right side
    1,044.12x = 1,056,045.72
  5. Step 5: Solve for x
    x = 1,056,045.72/1,044.12
  6. Step 6: Final answer
    x = 1,011.42

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1.5x scale

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.