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Finding the Fourth Proportional to 948.81, 1,308.06 and 928.11

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Solution

The fourth proportional to 948.81, 1,308.06 and 928.11 is: 1,279.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.81 : 1,308.06 = 928.11 : x
  2. Step 2: Convert to fraction form
    948.81/1,308.06 = 928.11/x
  3. Step 3: Cross multiply
    948.81x = 1,308.06 × 928.11
  4. Step 4: Simplify right side
    948.81x = 1,214,023.57
  5. Step 5: Solve for x
    x = 1,214,023.57/948.81
  6. Step 6: Final answer
    x = 1,279.52

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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.