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Finding the Fourth Proportional to 403.02, 558.77 and 395.10

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Solution

The fourth proportional to 403.02, 558.77 and 395.10 is: 547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    403.02 : 558.77 = 395.10 : x
  2. Step 2: Convert to fraction form
    403.02/558.77 = 395.10/x
  3. Step 3: Cross multiply
    403.02x = 558.77 × 395.10
  4. Step 4: Simplify right side
    403.02x = 220,768.05
  5. Step 5: Solve for x
    x = 220,768.05/403.02
  6. Step 6: Final answer
    x = 547.78

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.