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Finding the Fourth Proportional to 926.42, 1,277.86 and 594.32

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Solution

The fourth proportional to 926.42, 1,277.86 and 594.32 is: 819.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.42 : 1,277.86 = 594.32 : x
  2. Step 2: Convert to fraction form
    926.42/1,277.86 = 594.32/x
  3. Step 3: Cross multiply
    926.42x = 1,277.86 × 594.32
  4. Step 4: Simplify right side
    926.42x = 759,456.27
  5. Step 5: Solve for x
    x = 759,456.27/926.42
  6. Step 6: Final answer
    x = 819.78

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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.