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Finding the Fourth Proportional to 710.91, 1,066.42 and 248.81

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Solution

The fourth proportional to 710.91, 1,066.42 and 248.81 is: 373.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.91 : 1,066.42 = 248.81 : x
  2. Step 2: Convert to fraction form
    710.91/1,066.42 = 248.81/x
  3. Step 3: Cross multiply
    710.91x = 1,066.42 × 248.81
  4. Step 4: Simplify right side
    710.91x = 265,335.96
  5. Step 5: Solve for x
    x = 265,335.96/710.91
  6. Step 6: Final answer
    x = 373.23

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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.