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Finding the Fourth Proportional to 948.86, 1,308.68 and 617.39

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Solution

The fourth proportional to 948.86, 1,308.68 and 617.39 is: 851.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.86 : 1,308.68 = 617.39 : x
  2. Step 2: Convert to fraction form
    948.86/1,308.68 = 617.39/x
  3. Step 3: Cross multiply
    948.86x = 1,308.68 × 617.39
  4. Step 4: Simplify right side
    948.86x = 807,965.27
  5. Step 5: Solve for x
    x = 807,965.27/948.86
  6. Step 6: Final answer
    x = 851.52

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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.