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Finding the Fourth Proportional to 926.77, 1,278.98 and 577.39

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Solution

The fourth proportional to 926.77, 1,278.98 and 577.39 is: 796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.77 : 1,278.98 = 577.39 : x
  2. Step 2: Convert to fraction form
    926.77/1,278.98 = 577.39/x
  3. Step 3: Cross multiply
    926.77x = 1,278.98 × 577.39
  4. Step 4: Simplify right side
    926.77x = 738,470.26
  5. Step 5: Solve for x
    x = 738,470.26/926.77
  6. Step 6: Final answer
    x = 796.82

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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.