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Finding the Fourth Proportional to 403.83, 602.19 and 400.17

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Solution

The fourth proportional to 403.83, 602.19 and 400.17 is: 596.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.83 : 602.19 = 400.17 : x
  2. Step 2: Convert to fraction form
    403.83/602.19 = 400.17/x
  3. Step 3: Cross multiply
    403.83x = 602.19 × 400.17
  4. Step 4: Simplify right side
    403.83x = 240,978.37
  5. Step 5: Solve for x
    x = 240,978.37/403.83
  6. Step 6: Final answer
    x = 596.73

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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.