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Finding the Fourth Proportional to 947.57, 1,421.51 and 331.46

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Solution

The fourth proportional to 947.57, 1,421.51 and 331.46 is: 497.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.57 : 1,421.51 = 331.46 : x
  2. Step 2: Convert to fraction form
    947.57/1,421.51 = 331.46/x
  3. Step 3: Cross multiply
    947.57x = 1,421.51 × 331.46
  4. Step 4: Simplify right side
    947.57x = 471,164.94
  5. Step 5: Solve for x
    x = 471,164.94/947.57
  6. Step 6: Final answer
    x = 497.23

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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.