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Finding the Fourth Proportional to 948.13, 1,309.68 and 713.84

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Solution

The fourth proportional to 948.13, 1,309.68 and 713.84 is: 986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.13 : 1,309.68 = 713.84 : x
  2. Step 2: Convert to fraction form
    948.13/1,309.68 = 713.84/x
  3. Step 3: Cross multiply
    948.13x = 1,309.68 × 713.84
  4. Step 4: Simplify right side
    948.13x = 934,901.97
  5. Step 5: Solve for x
    x = 934,901.97/948.13
  6. Step 6: Final answer
    x = 986.05

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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.