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Finding the Fourth Proportional to 950.47, 1,424.79 and 365.04

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Solution

The fourth proportional to 950.47, 1,424.79 and 365.04 is: 547.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.47 : 1,424.79 = 365.04 : x
  2. Step 2: Convert to fraction form
    950.47/1,424.79 = 365.04/x
  3. Step 3: Cross multiply
    950.47x = 1,424.79 × 365.04
  4. Step 4: Simplify right side
    950.47x = 520,105.34
  5. Step 5: Solve for x
    x = 520,105.34/950.47
  6. Step 6: Final answer
    x = 547.21

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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.