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Finding the Fourth Proportional to 928.26, 1,386.72 and 709.56

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Solution

The fourth proportional to 928.26, 1,386.72 and 709.56 is: 1,060.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.26 : 1,386.72 = 709.56 : x
  2. Step 2: Convert to fraction form
    928.26/1,386.72 = 709.56/x
  3. Step 3: Cross multiply
    928.26x = 1,386.72 × 709.56
  4. Step 4: Simplify right side
    928.26x = 983,961.04
  5. Step 5: Solve for x
    x = 983,961.04/928.26
  6. Step 6: Final answer
    x = 1,060.01

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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.