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Finding the Fourth Proportional to 711.53, 1,063.13 and 698.52

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Solution

The fourth proportional to 711.53, 1,063.13 and 698.52 is: 1,043.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.53 : 1,063.13 = 698.52 : x
  2. Step 2: Convert to fraction form
    711.53/1,063.13 = 698.52/x
  3. Step 3: Cross multiply
    711.53x = 1,063.13 × 698.52
  4. Step 4: Simplify right side
    711.53x = 742,618.06
  5. Step 5: Solve for x
    x = 742,618.06/711.53
  6. Step 6: Final answer
    x = 1,043.69

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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.