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Finding the Fourth Proportional to 802.57, 1,107.41 and 487.78

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Solution

The fourth proportional to 802.57, 1,107.41 and 487.78 is: 673.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.57 : 1,107.41 = 487.78 : x
  2. Step 2: Convert to fraction form
    802.57/1,107.41 = 487.78/x
  3. Step 3: Cross multiply
    802.57x = 1,107.41 × 487.78
  4. Step 4: Simplify right side
    802.57x = 540,164.47
  5. Step 5: Solve for x
    x = 540,164.47/802.57
  6. Step 6: Final answer
    x = 673.05

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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.