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Finding the Fourth Proportional to 928.14, 1,269.84 and 924.27

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Solution

The fourth proportional to 928.14, 1,269.84 and 924.27 is: 1,264.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.14 : 1,269.84 = 924.27 : x
  2. Step 2: Convert to fraction form
    928.14/1,269.84 = 924.27/x
  3. Step 3: Cross multiply
    928.14x = 1,269.84 × 924.27
  4. Step 4: Simplify right side
    928.14x = 1,173,675.02
  5. Step 5: Solve for x
    x = 1,173,675.02/928.14
  6. Step 6: Final answer
    x = 1,264.55

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.