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Finding the Fourth Proportional to 418.20, 569.37 and 416.90

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Solution

The fourth proportional to 418.20, 569.37 and 416.90 is: 567.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.20 : 569.37 = 416.90 : x
  2. Step 2: Convert to fraction form
    418.20/569.37 = 416.90/x
  3. Step 3: Cross multiply
    418.20x = 569.37 × 416.90
  4. Step 4: Simplify right side
    418.20x = 237,371.74
  5. Step 5: Solve for x
    x = 237,371.74/418.20
  6. Step 6: Final answer
    x = 567.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.