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Finding the Fourth Proportional to 701.54, 967.78 and 545.21

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Solution

The fourth proportional to 701.54, 967.78 and 545.21 is: 752.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.54 : 967.78 = 545.21 : x
  2. Step 2: Convert to fraction form
    701.54/967.78 = 545.21/x
  3. Step 3: Cross multiply
    701.54x = 967.78 × 545.21
  4. Step 4: Simplify right side
    701.54x = 527,643.33
  5. Step 5: Solve for x
    x = 527,643.33/701.54
  6. Step 6: Final answer
    x = 752.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.