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Finding the Fourth Proportional to 926.47, 1,278.26 and 729.37

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Solution

The fourth proportional to 926.47, 1,278.26 and 729.37 is: 1,006.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.47 : 1,278.26 = 729.37 : x
  2. Step 2: Convert to fraction form
    926.47/1,278.26 = 729.37/x
  3. Step 3: Cross multiply
    926.47x = 1,278.26 × 729.37
  4. Step 4: Simplify right side
    926.47x = 932,318.10
  5. Step 5: Solve for x
    x = 932,318.10/926.47
  6. Step 6: Final answer
    x = 1,006.32

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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.