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Finding the Fourth Proportional to 947.33, 1,419.76 and 484.72

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Solution

The fourth proportional to 947.33, 1,419.76 and 484.72 is: 726.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.33 : 1,419.76 = 484.72 : x
  2. Step 2: Convert to fraction form
    947.33/1,419.76 = 484.72/x
  3. Step 3: Cross multiply
    947.33x = 1,419.76 × 484.72
  4. Step 4: Simplify right side
    947.33x = 688,183.12
  5. Step 5: Solve for x
    x = 688,183.12/947.33
  6. Step 6: Final answer
    x = 726.45

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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.