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Finding the Fourth Proportional to 1,200.77, 1,656.97 and 669.62

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Solution

The fourth proportional to 1,200.77, 1,656.97 and 669.62 is: 924.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.77 : 1,656.97 = 669.62 : x
  2. Step 2: Convert to fraction form
    1,200.77/1,656.97 = 669.62/x
  3. Step 3: Cross multiply
    1,200.77x = 1,656.97 × 669.62
  4. Step 4: Simplify right side
    1,200.77x = 1,109,537.17
  5. Step 5: Solve for x
    x = 1,109,537.17/1,200.77
  6. Step 6: Final answer
    x = 924.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.