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Finding the Fourth Proportional to 802.93, 1,107.98 and 471.31

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Solution

The fourth proportional to 802.93, 1,107.98 and 471.31 is: 650.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.93 : 1,107.98 = 471.31 : x
  2. Step 2: Convert to fraction form
    802.93/1,107.98 = 471.31/x
  3. Step 3: Cross multiply
    802.93x = 1,107.98 × 471.31
  4. Step 4: Simplify right side
    802.93x = 522,202.05
  5. Step 5: Solve for x
    x = 522,202.05/802.93
  6. Step 6: Final answer
    x = 650.37

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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.