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Finding the Fourth Proportional to 632.01, 945.99 and 338.78

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Solution

The fourth proportional to 632.01, 945.99 and 338.78 is: 507.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.01 : 945.99 = 338.78 : x
  2. Step 2: Convert to fraction form
    632.01/945.99 = 338.78/x
  3. Step 3: Cross multiply
    632.01x = 945.99 × 338.78
  4. Step 4: Simplify right side
    632.01x = 320,482.49
  5. Step 5: Solve for x
    x = 320,482.49/632.01
  6. Step 6: Final answer
    x = 507.08

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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.