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Finding the Fourth Proportional to 400.78, 597.79 and 365.41

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Solution

The fourth proportional to 400.78, 597.79 and 365.41 is: 545.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.78 : 597.79 = 365.41 : x
  2. Step 2: Convert to fraction form
    400.78/597.79 = 365.41/x
  3. Step 3: Cross multiply
    400.78x = 597.79 × 365.41
  4. Step 4: Simplify right side
    400.78x = 218,433.63
  5. Step 5: Solve for x
    x = 218,433.63/400.78
  6. Step 6: Final answer
    x = 545.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.