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Finding the Fourth Proportional to 788.17, 1,182.26 and 463.09

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Solution

The fourth proportional to 788.17, 1,182.26 and 463.09 is: 694.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.17 : 1,182.26 = 463.09 : x
  2. Step 2: Convert to fraction form
    788.17/1,182.26 = 463.09/x
  3. Step 3: Cross multiply
    788.17x = 1,182.26 × 463.09
  4. Step 4: Simplify right side
    788.17x = 547,492.78
  5. Step 5: Solve for x
    x = 547,492.78/788.17
  6. Step 6: Final answer
    x = 694.64

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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.