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Finding the Fourth Proportional to 788.06, 1,182.78 and 514.46

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Solution

The fourth proportional to 788.06, 1,182.78 and 514.46 is: 772.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.06 : 1,182.78 = 514.46 : x
  2. Step 2: Convert to fraction form
    788.06/1,182.78 = 514.46/x
  3. Step 3: Cross multiply
    788.06x = 1,182.78 × 514.46
  4. Step 4: Simplify right side
    788.06x = 608,495.96
  5. Step 5: Solve for x
    x = 608,495.96/788.06
  6. Step 6: Final answer
    x = 772.14

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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.