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Finding the Fourth Proportional to 697.86, 1,044.12 and 610.55

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Solution

The fourth proportional to 697.86, 1,044.12 and 610.55 is: 913.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.86 : 1,044.12 = 610.55 : x
  2. Step 2: Convert to fraction form
    697.86/1,044.12 = 610.55/x
  3. Step 3: Cross multiply
    697.86x = 1,044.12 × 610.55
  4. Step 4: Simplify right side
    697.86x = 637,488.45
  5. Step 5: Solve for x
    x = 637,488.45/697.86
  6. Step 6: Final answer
    x = 913.49

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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.