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Finding the Fourth Proportional to 1,202.26, 1,802.55 and 654.70

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Solution

The fourth proportional to 1,202.26, 1,802.55 and 654.70 is: 981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,202.26 : 1,802.55 = 654.70 : x
  2. Step 2: Convert to fraction form
    1,202.26/1,802.55 = 654.70/x
  3. Step 3: Cross multiply
    1,202.26x = 1,802.55 × 654.70
  4. Step 4: Simplify right side
    1,202.26x = 1,180,129.49
  5. Step 5: Solve for x
    x = 1,180,129.49/1,202.26
  6. Step 6: Final answer
    x = 981.59

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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.