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Finding the Fourth Proportional to 788.76, 1,182.84 and 423.48

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Solution

The fourth proportional to 788.76, 1,182.84 and 423.48 is: 635.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.76 : 1,182.84 = 423.48 : x
  2. Step 2: Convert to fraction form
    788.76/1,182.84 = 423.48/x
  3. Step 3: Cross multiply
    788.76x = 1,182.84 × 423.48
  4. Step 4: Simplify right side
    788.76x = 500,909.08
  5. Step 5: Solve for x
    x = 500,909.08/788.76
  6. Step 6: Final answer
    x = 635.06

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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.