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Finding the Fourth Proportional to 710.75, 1,066.17 and 190.74

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Solution

The fourth proportional to 710.75, 1,066.17 and 190.74 is: 286.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.75 : 1,066.17 = 190.74 : x
  2. Step 2: Convert to fraction form
    710.75/1,066.17 = 190.74/x
  3. Step 3: Cross multiply
    710.75x = 1,066.17 × 190.74
  4. Step 4: Simplify right side
    710.75x = 203,361.27
  5. Step 5: Solve for x
    x = 203,361.27/710.75
  6. Step 6: Final answer
    x = 286.12

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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.