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Finding the Fourth Proportional to 948.82, 1,309.20 and 555.82

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Solution

The fourth proportional to 948.82, 1,309.20 and 555.82 is: 766.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.82 : 1,309.20 = 555.82 : x
  2. Step 2: Convert to fraction form
    948.82/1,309.20 = 555.82/x
  3. Step 3: Cross multiply
    948.82x = 1,309.20 × 555.82
  4. Step 4: Simplify right side
    948.82x = 727,679.54
  5. Step 5: Solve for x
    x = 727,679.54/948.82
  6. Step 6: Final answer
    x = 766.93

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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.