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Finding the Fourth Proportional to 673.31, 1,009.25 and 283.22

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Solution

The fourth proportional to 673.31, 1,009.25 and 283.22 is: 424.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.31 : 1,009.25 = 283.22 : x
  2. Step 2: Convert to fraction form
    673.31/1,009.25 = 283.22/x
  3. Step 3: Cross multiply
    673.31x = 1,009.25 × 283.22
  4. Step 4: Simplify right side
    673.31x = 285,833.32
  5. Step 5: Solve for x
    x = 285,833.32/673.31
  6. Step 6: Final answer
    x = 424.52

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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.