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Finding the Fourth Proportional to 926.84, 1,277.88 and 800.84

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Solution

The fourth proportional to 926.84, 1,277.88 and 800.84 is: 1,104.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.84 : 1,277.88 = 800.84 : x
  2. Step 2: Convert to fraction form
    926.84/1,277.88 = 800.84/x
  3. Step 3: Cross multiply
    926.84x = 1,277.88 × 800.84
  4. Step 4: Simplify right side
    926.84x = 1,023,377.42
  5. Step 5: Solve for x
    x = 1,023,377.42/926.84
  6. Step 6: Final answer
    x = 1,104.16

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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.