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Finding the Fourth Proportional to 1,202.40, 1,802.22 and 654.84

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Solution

The fourth proportional to 1,202.40, 1,802.22 and 654.84 is: 981.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.40 : 1,802.22 = 654.84 : x
  2. Step 2: Convert to fraction form
    1,202.40/1,802.22 = 654.84/x
  3. Step 3: Cross multiply
    1,202.40x = 1,802.22 × 654.84
  4. Step 4: Simplify right side
    1,202.40x = 1,180,165.74
  5. Step 5: Solve for x
    x = 1,180,165.74/1,202.40
  6. Step 6: Final answer
    x = 981.51

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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.