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Finding the Fourth Proportional to 450.08, 670.66 and 401.62

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Solution

The fourth proportional to 450.08, 670.66 and 401.62 is: 598.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    450.08 : 670.66 = 401.62 : x
  2. Step 2: Convert to fraction form
    450.08/670.66 = 401.62/x
  3. Step 3: Cross multiply
    450.08x = 670.66 × 401.62
  4. Step 4: Simplify right side
    450.08x = 269,350.47
  5. Step 5: Solve for x
    x = 269,350.47/450.08
  6. Step 6: Final answer
    x = 598.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.