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Finding the Fourth Proportional to 697.19, 1,044.57 and 621.86

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Solution

The fourth proportional to 697.19, 1,044.57 and 621.86 is: 931.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.19 : 1,044.57 = 621.86 : x
  2. Step 2: Convert to fraction form
    697.19/1,044.57 = 621.86/x
  3. Step 3: Cross multiply
    697.19x = 1,044.57 × 621.86
  4. Step 4: Simplify right side
    697.19x = 649,576.30
  5. Step 5: Solve for x
    x = 649,576.30/697.19
  6. Step 6: Final answer
    x = 931.71

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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.