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Finding the Fourth Proportional to 928.68, 1,398.84 and 713.76

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Solution

The fourth proportional to 928.68, 1,398.84 and 713.76 is: 1,075.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.68 : 1,398.84 = 713.76 : x
  2. Step 2: Convert to fraction form
    928.68/1,398.84 = 713.76/x
  3. Step 3: Cross multiply
    928.68x = 1,398.84 × 713.76
  4. Step 4: Simplify right side
    928.68x = 998,436.04
  5. Step 5: Solve for x
    x = 998,436.04/928.68
  6. Step 6: Final answer
    x = 1,075.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.