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Finding the Fourth Proportional to 928.75, 1,279.14 and 864.19

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Solution

The fourth proportional to 928.75, 1,279.14 and 864.19 is: 1,190.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.75 : 1,279.14 = 864.19 : x
  2. Step 2: Convert to fraction form
    928.75/1,279.14 = 864.19/x
  3. Step 3: Cross multiply
    928.75x = 1,279.14 × 864.19
  4. Step 4: Simplify right side
    928.75x = 1,105,420.00
  5. Step 5: Solve for x
    x = 1,105,420.00/928.75
  6. Step 6: Final answer
    x = 1,190.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.