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Finding the Fourth Proportional to 785.78, 1,177.67 and 460.34

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Solution

The fourth proportional to 785.78, 1,177.67 and 460.34 is: 689.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.78 : 1,177.67 = 460.34 : x
  2. Step 2: Convert to fraction form
    785.78/1,177.67 = 460.34/x
  3. Step 3: Cross multiply
    785.78x = 1,177.67 × 460.34
  4. Step 4: Simplify right side
    785.78x = 542,122.72
  5. Step 5: Solve for x
    x = 542,122.72/785.78
  6. Step 6: Final answer
    x = 689.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.