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Finding the Fourth Proportional to 926.12, 1,278.14 and 576.84

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Solution

The fourth proportional to 926.12, 1,278.14 and 576.84 is: 796.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.12 : 1,278.14 = 576.84 : x
  2. Step 2: Convert to fraction form
    926.12/1,278.14 = 576.84/x
  3. Step 3: Cross multiply
    926.12x = 1,278.14 × 576.84
  4. Step 4: Simplify right side
    926.12x = 737,282.28
  5. Step 5: Solve for x
    x = 737,282.28/926.12
  6. Step 6: Final answer
    x = 796.10

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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.