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Finding the Fourth Proportional to 708.74, 1,061.21 and 461.21

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Solution

The fourth proportional to 708.74, 1,061.21 and 461.21 is: 690.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.74 : 1,061.21 = 461.21 : x
  2. Step 2: Convert to fraction form
    708.74/1,061.21 = 461.21/x
  3. Step 3: Cross multiply
    708.74x = 1,061.21 × 461.21
  4. Step 4: Simplify right side
    708.74x = 489,440.66
  5. Step 5: Solve for x
    x = 489,440.66/708.74
  6. Step 6: Final answer
    x = 690.58

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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.