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Finding the Fourth Proportional to 645.95, 891.47 and 366.20

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Solution

The fourth proportional to 645.95, 891.47 and 366.20 is: 505.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.95 : 891.47 = 366.20 : x
  2. Step 2: Convert to fraction form
    645.95/891.47 = 366.20/x
  3. Step 3: Cross multiply
    645.95x = 891.47 × 366.20
  4. Step 4: Simplify right side
    645.95x = 326,456.12
  5. Step 5: Solve for x
    x = 326,456.12/645.95
  6. Step 6: Final answer
    x = 505.39

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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.