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Finding the Fourth Proportional to 804.96, 1,201.08 and 702.12

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Solution

The fourth proportional to 804.96, 1,201.08 and 702.12 is: 1,047.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.96 : 1,201.08 = 702.12 : x
  2. Step 2: Convert to fraction form
    804.96/1,201.08 = 702.12/x
  3. Step 3: Cross multiply
    804.96x = 1,201.08 × 702.12
  4. Step 4: Simplify right side
    804.96x = 843,302.29
  5. Step 5: Solve for x
    x = 843,302.29/804.96
  6. Step 6: Final answer
    x = 1,047.63

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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.