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Finding the Fourth Proportional to 669.99, 924.78 and 408.13

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Solution

The fourth proportional to 669.99, 924.78 and 408.13 is: 563.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.99 : 924.78 = 408.13 : x
  2. Step 2: Convert to fraction form
    669.99/924.78 = 408.13/x
  3. Step 3: Cross multiply
    669.99x = 924.78 × 408.13
  4. Step 4: Simplify right side
    669.99x = 377,430.46
  5. Step 5: Solve for x
    x = 377,430.46/669.99
  6. Step 6: Final answer
    x = 563.34

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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.