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Finding the Fourth Proportional to 802.46, 1,107.07 and 581.03

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Solution

The fourth proportional to 802.46, 1,107.07 and 581.03 is: 801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.46 : 1,107.07 = 581.03 : x
  2. Step 2: Convert to fraction form
    802.46/1,107.07 = 581.03/x
  3. Step 3: Cross multiply
    802.46x = 1,107.07 × 581.03
  4. Step 4: Simplify right side
    802.46x = 643,237.98
  5. Step 5: Solve for x
    x = 643,237.98/802.46
  6. Step 6: Final answer
    x = 801.58

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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.