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Finding the Fourth Proportional to 1,392.01, 1,920.99 and 802.51

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Solution

The fourth proportional to 1,392.01, 1,920.99 and 802.51 is: 1,107.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,392.01 : 1,920.99 = 802.51 : x
  2. Step 2: Convert to fraction form
    1,392.01/1,920.99 = 802.51/x
  3. Step 3: Cross multiply
    1,392.01x = 1,920.99 × 802.51
  4. Step 4: Simplify right side
    1,392.01x = 1,541,613.68
  5. Step 5: Solve for x
    x = 1,541,613.68/1,392.01
  6. Step 6: Final answer
    x = 1,107.47

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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.