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Finding the Fourth Proportional to 788.64, 1,182.12 and 463.56

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Solution

The fourth proportional to 788.64, 1,182.12 and 463.56 is: 694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.64 : 1,182.12 = 463.56 : x
  2. Step 2: Convert to fraction form
    788.64/1,182.12 = 463.56/x
  3. Step 3: Cross multiply
    788.64x = 1,182.12 × 463.56
  4. Step 4: Simplify right side
    788.64x = 547,983.55
  5. Step 5: Solve for x
    x = 547,983.55/788.64
  6. Step 6: Final answer
    x = 694.85

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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.