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Finding the Fourth Proportional to 802.39, 1,107.62 and 522.87

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Solution

The fourth proportional to 802.39, 1,107.62 and 522.87 is: 721.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.39 : 1,107.62 = 522.87 : x
  2. Step 2: Convert to fraction form
    802.39/1,107.62 = 522.87/x
  3. Step 3: Cross multiply
    802.39x = 1,107.62 × 522.87
  4. Step 4: Simplify right side
    802.39x = 579,140.96
  5. Step 5: Solve for x
    x = 579,140.96/802.39
  6. Step 6: Final answer
    x = 721.77

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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.