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Finding the Fourth Proportional to 403.80, 602.15 and 400.32

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Solution

The fourth proportional to 403.80, 602.15 and 400.32 is: 596.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 602.15 = 400.32 : x
  2. Step 2: Convert to fraction form
    403.80/602.15 = 400.32/x
  3. Step 3: Cross multiply
    403.80x = 602.15 × 400.32
  4. Step 4: Simplify right side
    403.80x = 241,051.69
  5. Step 5: Solve for x
    x = 241,051.69/403.80
  6. Step 6: Final answer
    x = 596.97

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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.