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Finding the Fourth Proportional to 788.40, 1,182.60 and 463.32

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Solution

The fourth proportional to 788.40, 1,182.60 and 463.32 is: 694.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.40 : 1,182.60 = 463.32 : x
  2. Step 2: Convert to fraction form
    788.40/1,182.60 = 463.32/x
  3. Step 3: Cross multiply
    788.40x = 1,182.60 × 463.32
  4. Step 4: Simplify right side
    788.40x = 547,922.23
  5. Step 5: Solve for x
    x = 547,922.23/788.40
  6. Step 6: Final answer
    x = 694.98

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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.