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Finding the Fourth Proportional to 947.31, 1,417.77 and 582.36

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Solution

The fourth proportional to 947.31, 1,417.77 and 582.36 is: 871.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    947.31 : 1,417.77 = 582.36 : x
  2. Step 2: Convert to fraction form
    947.31/1,417.77 = 582.36/x
  3. Step 3: Cross multiply
    947.31x = 1,417.77 × 582.36
  4. Step 4: Simplify right side
    947.31x = 825,652.54
  5. Step 5: Solve for x
    x = 825,652.54/947.31
  6. Step 6: Final answer
    x = 871.58

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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.