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Finding the Fourth Proportional to 424.19, 631.96 and 403.54

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Solution

The fourth proportional to 424.19, 631.96 and 403.54 is: 601.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.19 : 631.96 = 403.54 : x
  2. Step 2: Convert to fraction form
    424.19/631.96 = 403.54/x
  3. Step 3: Cross multiply
    424.19x = 631.96 × 403.54
  4. Step 4: Simplify right side
    424.19x = 255,020.82
  5. Step 5: Solve for x
    x = 255,020.82/424.19
  6. Step 6: Final answer
    x = 601.19

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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.