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Finding the Fourth Proportional to 708.14, 1,061.76 and 610.68

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Solution

The fourth proportional to 708.14, 1,061.76 and 610.68 is: 915.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.14 : 1,061.76 = 610.68 : x
  2. Step 2: Convert to fraction form
    708.14/1,061.76 = 610.68/x
  3. Step 3: Cross multiply
    708.14x = 1,061.76 × 610.68
  4. Step 4: Simplify right side
    708.14x = 648,395.60
  5. Step 5: Solve for x
    x = 648,395.60/708.14
  6. Step 6: Final answer
    x = 915.63

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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.