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Finding the Fourth Proportional to 403.80, 601.53 and 394.20

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Solution

The fourth proportional to 403.80, 601.53 and 394.20 is: 587.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.80 : 601.53 = 394.20 : x
  2. Step 2: Convert to fraction form
    403.80/601.53 = 394.20/x
  3. Step 3: Cross multiply
    403.80x = 601.53 × 394.20
  4. Step 4: Simplify right side
    403.80x = 237,123.13
  5. Step 5: Solve for x
    x = 237,123.13/403.80
  6. Step 6: Final answer
    x = 587.23

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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.