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Finding the Fourth Proportional to 466.37, 640.40 and 417.23

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Solution

The fourth proportional to 466.37, 640.40 and 417.23 is: 572.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.37 : 640.40 = 417.23 : x
  2. Step 2: Convert to fraction form
    466.37/640.40 = 417.23/x
  3. Step 3: Cross multiply
    466.37x = 640.40 × 417.23
  4. Step 4: Simplify right side
    466.37x = 267,188.80
  5. Step 5: Solve for x
    x = 267,188.80/466.37
  6. Step 6: Final answer
    x = 572.92

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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.