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Finding the Fourth Proportional to 642.77, 967.55 and 548.81

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Solution

The fourth proportional to 642.77, 967.55 and 548.81 is: 826.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.77 : 967.55 = 548.81 : x
  2. Step 2: Convert to fraction form
    642.77/967.55 = 548.81/x
  3. Step 3: Cross multiply
    642.77x = 967.55 × 548.81
  4. Step 4: Simplify right side
    642.77x = 531,001.12
  5. Step 5: Solve for x
    x = 531,001.12/642.77
  6. Step 6: Final answer
    x = 826.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.