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Finding the Fourth Proportional to 926.46, 1,277.42 and 808.92

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Solution

The fourth proportional to 926.46, 1,277.42 and 808.92 is: 1,115.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.46 : 1,277.42 = 808.92 : x
  2. Step 2: Convert to fraction form
    926.46/1,277.42 = 808.92/x
  3. Step 3: Cross multiply
    926.46x = 1,277.42 × 808.92
  4. Step 4: Simplify right side
    926.46x = 1,033,326.54
  5. Step 5: Solve for x
    x = 1,033,326.54/926.46
  6. Step 6: Final answer
    x = 1,115.35

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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.