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Finding the Fourth Proportional to 710.82, 1,066.25 and 248.51

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Solution

The fourth proportional to 710.82, 1,066.25 and 248.51 is: 372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.82 : 1,066.25 = 248.51 : x
  2. Step 2: Convert to fraction form
    710.82/1,066.25 = 248.51/x
  3. Step 3: Cross multiply
    710.82x = 1,066.25 × 248.51
  4. Step 4: Simplify right side
    710.82x = 264,977.07
  5. Step 5: Solve for x
    x = 264,977.07/710.82
  6. Step 6: Final answer
    x = 372.78

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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.