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Finding the Fourth Proportional to 793.60, 1,191.68 and 451.84

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Solution

The fourth proportional to 793.60, 1,191.68 and 451.84 is: 678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.60 : 1,191.68 = 451.84 : x
  2. Step 2: Convert to fraction form
    793.60/1,191.68 = 451.84/x
  3. Step 3: Cross multiply
    793.60x = 1,191.68 × 451.84
  4. Step 4: Simplify right side
    793.60x = 538,448.69
  5. Step 5: Solve for x
    x = 538,448.69/793.60
  6. Step 6: Final answer
    x = 678.49

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1.5x scale

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.