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Finding the Fourth Proportional to 1,200.97, 1,802.99 and 653.54

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Solution

The fourth proportional to 1,200.97, 1,802.99 and 653.54 is: 981.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.97 : 1,802.99 = 653.54 : x
  2. Step 2: Convert to fraction form
    1,200.97/1,802.99 = 653.54/x
  3. Step 3: Cross multiply
    1,200.97x = 1,802.99 × 653.54
  4. Step 4: Simplify right side
    1,200.97x = 1,178,323.20
  5. Step 5: Solve for x
    x = 1,178,323.20/1,200.97
  6. Step 6: Final answer
    x = 981.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.