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Finding the Fourth Proportional to 851.63, 1,174.38 and 802.02

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Solution

The fourth proportional to 851.63, 1,174.38 and 802.02 is: 1,105.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.63 : 1,174.38 = 802.02 : x
  2. Step 2: Convert to fraction form
    851.63/1,174.38 = 802.02/x
  3. Step 3: Cross multiply
    851.63x = 1,174.38 × 802.02
  4. Step 4: Simplify right side
    851.63x = 941,876.25
  5. Step 5: Solve for x
    x = 941,876.25/851.63
  6. Step 6: Final answer
    x = 1,105.97

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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.