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Finding the Fourth Proportional to 466.90, 643.82 and 397.19

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Solution

The fourth proportional to 466.90, 643.82 and 397.19 is: 547.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.90 : 643.82 = 397.19 : x
  2. Step 2: Convert to fraction form
    466.90/643.82 = 397.19/x
  3. Step 3: Cross multiply
    466.90x = 643.82 × 397.19
  4. Step 4: Simplify right side
    466.90x = 255,718.49
  5. Step 5: Solve for x
    x = 255,718.49/466.90
  6. Step 6: Final answer
    x = 547.70

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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.