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Finding the Fourth Proportional to 711.61, 1,066.51 and 548.96

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Solution

The fourth proportional to 711.61, 1,066.51 and 548.96 is: 822.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.61 : 1,066.51 = 548.96 : x
  2. Step 2: Convert to fraction form
    711.61/1,066.51 = 548.96/x
  3. Step 3: Cross multiply
    711.61x = 1,066.51 × 548.96
  4. Step 4: Simplify right side
    711.61x = 585,464.62
  5. Step 5: Solve for x
    x = 585,464.62/711.61
  6. Step 6: Final answer
    x = 822.73

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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.