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Finding the Fourth Proportional to 466.11, 643.53 and 416.23

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Solution

The fourth proportional to 466.11, 643.53 and 416.23 is: 574.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.11 : 643.53 = 416.23 : x
  2. Step 2: Convert to fraction form
    466.11/643.53 = 416.23/x
  3. Step 3: Cross multiply
    466.11x = 643.53 × 416.23
  4. Step 4: Simplify right side
    466.11x = 267,851.19
  5. Step 5: Solve for x
    x = 267,851.19/466.11
  6. Step 6: Final answer
    x = 574.66

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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.