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Finding the Fourth Proportional to 950.14, 1,424.40 and 456.26

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Solution

The fourth proportional to 950.14, 1,424.40 and 456.26 is: 684.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.14 : 1,424.40 = 456.26 : x
  2. Step 2: Convert to fraction form
    950.14/1,424.40 = 456.26/x
  3. Step 3: Cross multiply
    950.14x = 1,424.40 × 456.26
  4. Step 4: Simplify right side
    950.14x = 649,896.74
  5. Step 5: Solve for x
    x = 649,896.74/950.14
  6. Step 6: Final answer
    x = 684.00

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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.