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Finding the Fourth Proportional to 498.40, 687.16 and 428.32

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Solution

The fourth proportional to 498.40, 687.16 and 428.32 is: 590.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    498.40 : 687.16 = 428.32 : x
  2. Step 2: Convert to fraction form
    498.40/687.16 = 428.32/x
  3. Step 3: Cross multiply
    498.40x = 687.16 × 428.32
  4. Step 4: Simplify right side
    498.40x = 294,324.37
  5. Step 5: Solve for x
    x = 294,324.37/498.40
  6. Step 6: Final answer
    x = 590.54

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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.