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Finding the Fourth Proportional to 436.16, 649.28 and 416.25

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Solution

The fourth proportional to 436.16, 649.28 and 416.25 is: 619.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    436.16 : 649.28 = 416.25 : x
  2. Step 2: Convert to fraction form
    436.16/649.28 = 416.25/x
  3. Step 3: Cross multiply
    436.16x = 649.28 × 416.25
  4. Step 4: Simplify right side
    436.16x = 270,257.47
  5. Step 5: Solve for x
    x = 270,257.47/436.16
  6. Step 6: Final answer
    x = 619.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.