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Finding the Fourth Proportional to 469.88, 649.80 and 411.56

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Solution

The fourth proportional to 469.88, 649.80 and 411.56 is: 569.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.88 : 649.80 = 411.56 : x
  2. Step 2: Convert to fraction form
    469.88/649.80 = 411.56/x
  3. Step 3: Cross multiply
    469.88x = 649.80 × 411.56
  4. Step 4: Simplify right side
    469.88x = 267,431.69
  5. Step 5: Solve for x
    x = 267,431.69/469.88
  6. Step 6: Final answer
    x = 569.15

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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.