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Finding the Fourth Proportional to 409.24, 560.45 and 403.84

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Solution

The fourth proportional to 409.24, 560.45 and 403.84 is: 553.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.24 : 560.45 = 403.84 : x
  2. Step 2: Convert to fraction form
    409.24/560.45 = 403.84/x
  3. Step 3: Cross multiply
    409.24x = 560.45 × 403.84
  4. Step 4: Simplify right side
    409.24x = 226,332.13
  5. Step 5: Solve for x
    x = 226,332.13/409.24
  6. Step 6: Final answer
    x = 553.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.