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Finding the Fourth Proportional to 754.19, 1,045.60 and 727.46

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Solution

The fourth proportional to 754.19, 1,045.60 and 727.46 is: 1,008.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.19 : 1,045.60 = 727.46 : x
  2. Step 2: Convert to fraction form
    754.19/1,045.60 = 727.46/x
  3. Step 3: Cross multiply
    754.19x = 1,045.60 × 727.46
  4. Step 4: Simplify right side
    754.19x = 760,632.18
  5. Step 5: Solve for x
    x = 760,632.18/754.19
  6. Step 6: Final answer
    x = 1,008.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.