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Finding the Fourth Proportional to 472, 707.72 and 142.84

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Solution

The fourth proportional to 472, 707.72 and 142.84 is: 214.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    472 : 707.72 = 142.84 : x
  2. Step 2: Convert to fraction form
    472/707.72 = 142.84/x
  3. Step 3: Cross multiply
    472x = 707.72 × 142.84
  4. Step 4: Simplify right side
    472x = 101,091.08
  5. Step 5: Solve for x
    x = 101,091.08/472
  6. Step 6: Final answer
    x = 214.18

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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.