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Finding the Fourth Proportional to 947.16, 1,419.73 and 484.45

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Solution

The fourth proportional to 947.16, 1,419.73 and 484.45 is: 726.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.16 : 1,419.73 = 484.45 : x
  2. Step 2: Convert to fraction form
    947.16/1,419.73 = 484.45/x
  3. Step 3: Cross multiply
    947.16x = 1,419.73 × 484.45
  4. Step 4: Simplify right side
    947.16x = 687,783.44
  5. Step 5: Solve for x
    x = 687,783.44/947.16
  6. Step 6: Final answer
    x = 726.15

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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.