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Finding the Fourth Proportional to 418.94, 572.29 and 416.24

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Solution

The fourth proportional to 418.94, 572.29 and 416.24 is: 568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.94 : 572.29 = 416.24 : x
  2. Step 2: Convert to fraction form
    418.94/572.29 = 416.24/x
  3. Step 3: Cross multiply
    418.94x = 572.29 × 416.24
  4. Step 4: Simplify right side
    418.94x = 238,209.99
  5. Step 5: Solve for x
    x = 238,209.99/418.94
  6. Step 6: Final answer
    x = 568.60

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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.