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Finding the Fourth Proportional to 947.70, 1,421.33 and 453.80

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Solution

The fourth proportional to 947.70, 1,421.33 and 453.80 is: 680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.70 : 1,421.33 = 453.80 : x
  2. Step 2: Convert to fraction form
    947.70/1,421.33 = 453.80/x
  3. Step 3: Cross multiply
    947.70x = 1,421.33 × 453.80
  4. Step 4: Simplify right side
    947.70x = 644,990.18
  5. Step 5: Solve for x
    x = 644,990.18/947.70
  6. Step 6: Final answer
    x = 680.58

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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.