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Finding the Fourth Proportional to 678.48, 936.24 and 413

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Solution

The fourth proportional to 678.48, 936.24 and 413 is: 569.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    678.48 : 936.24 = 413 : x
  2. Step 2: Convert to fraction form
    678.48/936.24 = 413/x
  3. Step 3: Cross multiply
    678.48x = 936.24 × 413
  4. Step 4: Simplify right side
    678.48x = 386,667.12
  5. Step 5: Solve for x
    x = 386,667.12/678.48
  6. Step 6: Final answer
    x = 569.90

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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.