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Finding the Fourth Proportional to 754.48, 1,040.65 and 656.07

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Solution

The fourth proportional to 754.48, 1,040.65 and 656.07 is: 904.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.48 : 1,040.65 = 656.07 : x
  2. Step 2: Convert to fraction form
    754.48/1,040.65 = 656.07/x
  3. Step 3: Cross multiply
    754.48x = 1,040.65 × 656.07
  4. Step 4: Simplify right side
    754.48x = 682,739.25
  5. Step 5: Solve for x
    x = 682,739.25/754.48
  6. Step 6: Final answer
    x = 904.91

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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.