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Finding the Fourth Proportional to 403.86, 602.16 and 396.57

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Solution

The fourth proportional to 403.86, 602.16 and 396.57 is: 591.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.86 : 602.16 = 396.57 : x
  2. Step 2: Convert to fraction form
    403.86/602.16 = 396.57/x
  3. Step 3: Cross multiply
    403.86x = 602.16 × 396.57
  4. Step 4: Simplify right side
    403.86x = 238,798.59
  5. Step 5: Solve for x
    x = 238,798.59/403.86
  6. Step 6: Final answer
    x = 591.29

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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.