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Finding the Fourth Proportional to 709.68, 1,063.80 and 401.16

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Solution

The fourth proportional to 709.68, 1,063.80 and 401.16 is: 601.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.68 : 1,063.80 = 401.16 : x
  2. Step 2: Convert to fraction form
    709.68/1,063.80 = 401.16/x
  3. Step 3: Cross multiply
    709.68x = 1,063.80 × 401.16
  4. Step 4: Simplify right side
    709.68x = 426,754.01
  5. Step 5: Solve for x
    x = 426,754.01/709.68
  6. Step 6: Final answer
    x = 601.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.