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Finding the Fourth Proportional to 942.92, 1,407.40 and 834.80

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Solution

The fourth proportional to 942.92, 1,407.40 and 834.80 is: 1,246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.92 : 1,407.40 = 834.80 : x
  2. Step 2: Convert to fraction form
    942.92/1,407.40 = 834.80/x
  3. Step 3: Cross multiply
    942.92x = 1,407.40 × 834.80
  4. Step 4: Simplify right side
    942.92x = 1,174,897.52
  5. Step 5: Solve for x
    x = 1,174,897.52/942.92
  6. Step 6: Final answer
    x = 1,246.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.