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Finding the Fourth Proportional to 948.43, 1,308.86 and 575.33

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Solution

The fourth proportional to 948.43, 1,308.86 and 575.33 is: 793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.43 : 1,308.86 = 575.33 : x
  2. Step 2: Convert to fraction form
    948.43/1,308.86 = 575.33/x
  3. Step 3: Cross multiply
    948.43x = 1,308.86 × 575.33
  4. Step 4: Simplify right side
    948.43x = 753,026.42
  5. Step 5: Solve for x
    x = 753,026.42/948.43
  6. Step 6: Final answer
    x = 793.97

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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.