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Finding the Fourth Proportional to 947.43, 1,421.69 and 537.03

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Solution

The fourth proportional to 947.43, 1,421.69 and 537.03 is: 805.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.43 : 1,421.69 = 537.03 : x
  2. Step 2: Convert to fraction form
    947.43/1,421.69 = 537.03/x
  3. Step 3: Cross multiply
    947.43x = 1,421.69 × 537.03
  4. Step 4: Simplify right side
    947.43x = 763,487.50
  5. Step 5: Solve for x
    x = 763,487.50/947.43
  6. Step 6: Final answer
    x = 805.85

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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.