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Finding the Fourth Proportional to 788.32, 1,180.68 and 463.60

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Solution

The fourth proportional to 788.32, 1,180.68 and 463.60 is: 694.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.32 : 1,180.68 = 463.60 : x
  2. Step 2: Convert to fraction form
    788.32/1,180.68 = 463.60/x
  3. Step 3: Cross multiply
    788.32x = 1,180.68 × 463.60
  4. Step 4: Simplify right side
    788.32x = 547,363.25
  5. Step 5: Solve for x
    x = 547,363.25/788.32
  6. Step 6: Final answer
    x = 694.34

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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.