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Finding the Fourth Proportional to 802.20, 1,197.50 and 742.08

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Solution

The fourth proportional to 802.20, 1,197.50 and 742.08 is: 1,107.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.20 : 1,197.50 = 742.08 : x
  2. Step 2: Convert to fraction form
    802.20/1,197.50 = 742.08/x
  3. Step 3: Cross multiply
    802.20x = 1,197.50 × 742.08
  4. Step 4: Simplify right side
    802.20x = 888,642.66
  5. Step 5: Solve for x
    x = 888,642.66/802.20
  6. Step 6: Final answer
    x = 1,107.76

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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.