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Finding the Fourth Proportional to 785.66, 1,178.80 and 581.95

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Solution

The fourth proportional to 785.66, 1,178.80 and 581.95 is: 873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.66 : 1,178.80 = 581.95 : x
  2. Step 2: Convert to fraction form
    785.66/1,178.80 = 581.95/x
  3. Step 3: Cross multiply
    785.66x = 1,178.80 × 581.95
  4. Step 4: Simplify right side
    785.66x = 685,993.86
  5. Step 5: Solve for x
    x = 685,993.86/785.66
  6. Step 6: Final answer
    x = 873.14

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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.