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Finding the Fourth Proportional to 403.70, 602.44 and 401.48

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Solution

The fourth proportional to 403.70, 602.44 and 401.48 is: 599.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.70 : 602.44 = 401.48 : x
  2. Step 2: Convert to fraction form
    403.70/602.44 = 401.48/x
  3. Step 3: Cross multiply
    403.70x = 602.44 × 401.48
  4. Step 4: Simplify right side
    403.70x = 241,867.61
  5. Step 5: Solve for x
    x = 241,867.61/403.70
  6. Step 6: Final answer
    x = 599.13

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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.