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Finding the Fourth Proportional to 478, 716.79 and 148.84

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Solution

The fourth proportional to 478, 716.79 and 148.84 is: 223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    478 : 716.79 = 148.84 : x
  2. Step 2: Convert to fraction form
    478/716.79 = 148.84/x
  3. Step 3: Cross multiply
    478x = 716.79 × 148.84
  4. Step 4: Simplify right side
    478x = 106,687.02
  5. Step 5: Solve for x
    x = 106,687.02/478
  6. Step 6: Final answer
    x = 223.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.