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Finding the Fourth Proportional to 802.96, 1,200.19 and 698.02

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Solution

The fourth proportional to 802.96, 1,200.19 and 698.02 is: 1,043.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.96 : 1,200.19 = 698.02 : x
  2. Step 2: Convert to fraction form
    802.96/1,200.19 = 698.02/x
  3. Step 3: Cross multiply
    802.96x = 1,200.19 × 698.02
  4. Step 4: Simplify right side
    802.96x = 837,756.62
  5. Step 5: Solve for x
    x = 837,756.62/802.96
  6. Step 6: Final answer
    x = 1,043.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.