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Finding the Fourth Proportional to 708.75, 1,061.10 and 488.70

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Solution

The fourth proportional to 708.75, 1,061.10 and 488.70 is: 731.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.75 : 1,061.10 = 488.70 : x
  2. Step 2: Convert to fraction form
    708.75/1,061.10 = 488.70/x
  3. Step 3: Cross multiply
    708.75x = 1,061.10 × 488.70
  4. Step 4: Simplify right side
    708.75x = 518,559.57
  5. Step 5: Solve for x
    x = 518,559.57/708.75
  6. Step 6: Final answer
    x = 731.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.