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Finding the Fourth Proportional to 488.01, 672.93 and 363.46

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Solution

The fourth proportional to 488.01, 672.93 and 363.46 is: 501.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    488.01 : 672.93 = 363.46 : x
  2. Step 2: Convert to fraction form
    488.01/672.93 = 363.46/x
  3. Step 3: Cross multiply
    488.01x = 672.93 × 363.46
  4. Step 4: Simplify right side
    488.01x = 244,583.14
  5. Step 5: Solve for x
    x = 244,583.14/488.01
  6. Step 6: Final answer
    x = 501.18

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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.