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Finding the Fourth Proportional to 802.60, 1,107.75 and 522.88

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Solution

The fourth proportional to 802.60, 1,107.75 and 522.88 is: 721.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.60 : 1,107.75 = 522.88 : x
  2. Step 2: Convert to fraction form
    802.60/1,107.75 = 522.88/x
  3. Step 3: Cross multiply
    802.60x = 1,107.75 × 522.88
  4. Step 4: Simplify right side
    802.60x = 579,220.32
  5. Step 5: Solve for x
    x = 579,220.32/802.60
  6. Step 6: Final answer
    x = 721.68

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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.