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Finding the Fourth Proportional to 711.74, 1,060.83 and 698.07

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Solution

The fourth proportional to 711.74, 1,060.83 and 698.07 is: 1,040.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.74 : 1,060.83 = 698.07 : x
  2. Step 2: Convert to fraction form
    711.74/1,060.83 = 698.07/x
  3. Step 3: Cross multiply
    711.74x = 1,060.83 × 698.07
  4. Step 4: Simplify right side
    711.74x = 740,537.58
  5. Step 5: Solve for x
    x = 740,537.58/711.74
  6. Step 6: Final answer
    x = 1,040.46

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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.