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Finding the Fourth Proportional to 711.46, 1,060.81 and 698.50

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Solution

The fourth proportional to 711.46, 1,060.81 and 698.50 is: 1,041.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.46 : 1,060.81 = 698.50 : x
  2. Step 2: Convert to fraction form
    711.46/1,060.81 = 698.50/x
  3. Step 3: Cross multiply
    711.46x = 1,060.81 × 698.50
  4. Step 4: Simplify right side
    711.46x = 740,975.79
  5. Step 5: Solve for x
    x = 740,975.79/711.46
  6. Step 6: Final answer
    x = 1,041.49

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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.