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Finding the Fourth Proportional to 785.95, 1,178.56 and 542.59

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Solution

The fourth proportional to 785.95, 1,178.56 and 542.59 is: 813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.95 : 1,178.56 = 542.59 : x
  2. Step 2: Convert to fraction form
    785.95/1,178.56 = 542.59/x
  3. Step 3: Cross multiply
    785.95x = 1,178.56 × 542.59
  4. Step 4: Simplify right side
    785.95x = 639,474.87
  5. Step 5: Solve for x
    x = 639,474.87/785.95
  6. Step 6: Final answer
    x = 813.63

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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.