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Finding the Fourth Proportional to 947.25, 1,420.61 and 685.08

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Solution

The fourth proportional to 947.25, 1,420.61 and 685.08 is: 1,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.25 : 1,420.61 = 685.08 : x
  2. Step 2: Convert to fraction form
    947.25/1,420.61 = 685.08/x
  3. Step 3: Cross multiply
    947.25x = 1,420.61 × 685.08
  4. Step 4: Simplify right side
    947.25x = 973,228.07
  5. Step 5: Solve for x
    x = 973,228.07/947.25
  6. Step 6: Final answer
    x = 1,027.42

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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.