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Finding the Fourth Proportional to 710.81, 1,066.28 and 272.06

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Solution

The fourth proportional to 710.81, 1,066.28 and 272.06 is: 408.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.81 : 1,066.28 = 272.06 : x
  2. Step 2: Convert to fraction form
    710.81/1,066.28 = 272.06/x
  3. Step 3: Cross multiply
    710.81x = 1,066.28 × 272.06
  4. Step 4: Simplify right side
    710.81x = 290,087.49
  5. Step 5: Solve for x
    x = 290,087.49/710.81
  6. Step 6: Final answer
    x = 408.11

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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.