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Finding the Fourth Proportional to 693.93, 1,034.22 and 688.20

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Solution

The fourth proportional to 693.93, 1,034.22 and 688.20 is: 1,025.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.93 : 1,034.22 = 688.20 : x
  2. Step 2: Convert to fraction form
    693.93/1,034.22 = 688.20/x
  3. Step 3: Cross multiply
    693.93x = 1,034.22 × 688.20
  4. Step 4: Simplify right side
    693.93x = 711,750.20
  5. Step 5: Solve for x
    x = 711,750.20/693.93
  6. Step 6: Final answer
    x = 1,025.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.