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Finding the Fourth Proportional to 436.42, 602.74 and 409.29

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Solution

The fourth proportional to 436.42, 602.74 and 409.29 is: 565.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.42 : 602.74 = 409.29 : x
  2. Step 2: Convert to fraction form
    436.42/602.74 = 409.29/x
  3. Step 3: Cross multiply
    436.42x = 602.74 × 409.29
  4. Step 4: Simplify right side
    436.42x = 246,695.45
  5. Step 5: Solve for x
    x = 246,695.45/436.42
  6. Step 6: Final answer
    x = 565.27

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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.