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Finding the Fourth Proportional to 921.93, 1,272.15 and 782.61

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Solution

The fourth proportional to 921.93, 1,272.15 and 782.61 is: 1,079.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.93 : 1,272.15 = 782.61 : x
  2. Step 2: Convert to fraction form
    921.93/1,272.15 = 782.61/x
  3. Step 3: Cross multiply
    921.93x = 1,272.15 × 782.61
  4. Step 4: Simplify right side
    921.93x = 995,597.31
  5. Step 5: Solve for x
    x = 995,597.31/921.93
  6. Step 6: Final answer
    x = 1,079.91

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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.