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Finding the Fourth Proportional to 950.48, 1,424.01 and 401.70

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Solution

The fourth proportional to 950.48, 1,424.01 and 401.70 is: 601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.48 : 1,424.01 = 401.70 : x
  2. Step 2: Convert to fraction form
    950.48/1,424.01 = 401.70/x
  3. Step 3: Cross multiply
    950.48x = 1,424.01 × 401.70
  4. Step 4: Simplify right side
    950.48x = 572,024.82
  5. Step 5: Solve for x
    x = 572,024.82/950.48
  6. Step 6: Final answer
    x = 601.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.