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Finding the Fourth Proportional to 466.95, 647.04 and 461.07

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Solution

The fourth proportional to 466.95, 647.04 and 461.07 is: 638.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    466.95 : 647.04 = 461.07 : x
  2. Step 2: Convert to fraction form
    466.95/647.04 = 461.07/x
  3. Step 3: Cross multiply
    466.95x = 647.04 × 461.07
  4. Step 4: Simplify right side
    466.95x = 298,330.73
  5. Step 5: Solve for x
    x = 298,330.73/466.95
  6. Step 6: Final answer
    x = 638.89

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.