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Finding the Fourth Proportional to 649.33, 895.63 and 416.35

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Solution

The fourth proportional to 649.33, 895.63 and 416.35 is: 574.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.33 : 895.63 = 416.35 : x
  2. Step 2: Convert to fraction form
    649.33/895.63 = 416.35/x
  3. Step 3: Cross multiply
    649.33x = 895.63 × 416.35
  4. Step 4: Simplify right side
    649.33x = 372,895.55
  5. Step 5: Solve for x
    x = 372,895.55/649.33
  6. Step 6: Final answer
    x = 574.28

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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.