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Finding the Fourth Proportional to 947.95, 1,308.69 and 726.21

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Solution

The fourth proportional to 947.95, 1,308.69 and 726.21 is: 1,002.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.95 : 1,308.69 = 726.21 : x
  2. Step 2: Convert to fraction form
    947.95/1,308.69 = 726.21/x
  3. Step 3: Cross multiply
    947.95x = 1,308.69 × 726.21
  4. Step 4: Simplify right side
    947.95x = 950,383.76
  5. Step 5: Solve for x
    x = 950,383.76/947.95
  6. Step 6: Final answer
    x = 1,002.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.