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Finding the Fourth Proportional to 942.46, 1,300.65 and 867.13

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Solution

The fourth proportional to 942.46, 1,300.65 and 867.13 is: 1,196.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.46 : 1,300.65 = 867.13 : x
  2. Step 2: Convert to fraction form
    942.46/1,300.65 = 867.13/x
  3. Step 3: Cross multiply
    942.46x = 1,300.65 × 867.13
  4. Step 4: Simplify right side
    942.46x = 1,127,826.13
  5. Step 5: Solve for x
    x = 1,127,826.13/942.46
  6. Step 6: Final answer
    x = 1,196.69

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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.