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Finding the Fourth Proportional to 498.98, 745.58 and 401.78

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Solution

The fourth proportional to 498.98, 745.58 and 401.78 is: 600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.98 : 745.58 = 401.78 : x
  2. Step 2: Convert to fraction form
    498.98/745.58 = 401.78/x
  3. Step 3: Cross multiply
    498.98x = 745.58 × 401.78
  4. Step 4: Simplify right side
    498.98x = 299,559.13
  5. Step 5: Solve for x
    x = 299,559.13/498.98
  6. Step 6: Final answer
    x = 600.34

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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.