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Finding the Fourth Proportional to 754.27, 1,038.58 and 660.49

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Solution

The fourth proportional to 754.27, 1,038.58 and 660.49 is: 909.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.27 : 1,038.58 = 660.49 : x
  2. Step 2: Convert to fraction form
    754.27/1,038.58 = 660.49/x
  3. Step 3: Cross multiply
    754.27x = 1,038.58 × 660.49
  4. Step 4: Simplify right side
    754.27x = 685,971.70
  5. Step 5: Solve for x
    x = 685,971.70/754.27
  6. Step 6: Final answer
    x = 909.45

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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.