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Finding the Fourth Proportional to 711.62, 1,060.64 and 697.95

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Solution

The fourth proportional to 711.62, 1,060.64 and 697.95 is: 1,040.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.62 : 1,060.64 = 697.95 : x
  2. Step 2: Convert to fraction form
    711.62/1,060.64 = 697.95/x
  3. Step 3: Cross multiply
    711.62x = 1,060.64 × 697.95
  4. Step 4: Simplify right side
    711.62x = 740,273.69
  5. Step 5: Solve for x
    x = 740,273.69/711.62
  6. Step 6: Final answer
    x = 1,040.27

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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.