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Finding the Fourth Proportional to 1,129.92, 1,694.79 and 802.27

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Solution

The fourth proportional to 1,129.92, 1,694.79 and 802.27 is: 1,203.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,129.92 : 1,694.79 = 802.27 : x
  2. Step 2: Convert to fraction form
    1,129.92/1,694.79 = 802.27/x
  3. Step 3: Cross multiply
    1,129.92x = 1,694.79 × 802.27
  4. Step 4: Simplify right side
    1,129.92x = 1,359,681.29
  5. Step 5: Solve for x
    x = 1,359,681.29/1,129.92
  6. Step 6: Final answer
    x = 1,203.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.