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Finding the Fourth Proportional to 470.18, 644.95 and 466.10

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Solution

The fourth proportional to 470.18, 644.95 and 466.10 is: 639.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.18 : 644.95 = 466.10 : x
  2. Step 2: Convert to fraction form
    470.18/644.95 = 466.10/x
  3. Step 3: Cross multiply
    470.18x = 644.95 × 466.10
  4. Step 4: Simplify right side
    470.18x = 300,611.20
  5. Step 5: Solve for x
    x = 300,611.20/470.18
  6. Step 6: Final answer
    x = 639.35

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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.