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Finding the Fourth Proportional to 697.76, 1,040.55 and 611.50

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Solution

The fourth proportional to 697.76, 1,040.55 and 611.50 is: 911.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    697.76 : 1,040.55 = 611.50 : x
  2. Step 2: Convert to fraction form
    697.76/1,040.55 = 611.50/x
  3. Step 3: Cross multiply
    697.76x = 1,040.55 × 611.50
  4. Step 4: Simplify right side
    697.76x = 636,291.12
  5. Step 5: Solve for x
    x = 636,291.12/697.76
  6. Step 6: Final answer
    x = 911.91

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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.