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Finding the Fourth Proportional to 1,431.96, 1,976.08 and 802.51

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Solution

The fourth proportional to 1,431.96, 1,976.08 and 802.51 is: 1,107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431.96 : 1,976.08 = 802.51 : x
  2. Step 2: Convert to fraction form
    1,431.96/1,976.08 = 802.51/x
  3. Step 3: Cross multiply
    1,431.96x = 1,976.08 × 802.51
  4. Step 4: Simplify right side
    1,431.96x = 1,585,818.52
  5. Step 5: Solve for x
    x = 1,585,818.52/1,431.96
  6. Step 6: Final answer
    x = 1,107.44

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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.