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Finding the Fourth Proportional to 926.78, 1,278.91 and 512.78

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Solution

The fourth proportional to 926.78, 1,278.91 and 512.78 is: 707.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.78 : 1,278.91 = 512.78 : x
  2. Step 2: Convert to fraction form
    926.78/1,278.91 = 512.78/x
  3. Step 3: Cross multiply
    926.78x = 1,278.91 × 512.78
  4. Step 4: Simplify right side
    926.78x = 655,799.47
  5. Step 5: Solve for x
    x = 655,799.47/926.78
  6. Step 6: Final answer
    x = 707.61

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Double scale
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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.