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Finding the Fourth Proportional to 498.40, 687.44 and 291.44

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Solution

The fourth proportional to 498.40, 687.44 and 291.44 is: 401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.40 : 687.44 = 291.44 : x
  2. Step 2: Convert to fraction form
    498.40/687.44 = 291.44/x
  3. Step 3: Cross multiply
    498.40x = 687.44 × 291.44
  4. Step 4: Simplify right side
    498.40x = 200,347.51
  5. Step 5: Solve for x
    x = 200,347.51/498.40
  6. Step 6: Final answer
    x = 401.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.