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Finding the Fourth Proportional to 788.52, 1,178.13 and 761.31

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Solution

The fourth proportional to 788.52, 1,178.13 and 761.31 is: 1,137.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.52 : 1,178.13 = 761.31 : x
  2. Step 2: Convert to fraction form
    788.52/1,178.13 = 761.31/x
  3. Step 3: Cross multiply
    788.52x = 1,178.13 × 761.31
  4. Step 4: Simplify right side
    788.52x = 896,922.15
  5. Step 5: Solve for x
    x = 896,922.15/788.52
  6. Step 6: Final answer
    x = 1,137.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.