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Finding the Fourth Proportional to 1,200.80, 1,657.09 and 669.67

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Solution

The fourth proportional to 1,200.80, 1,657.09 and 669.67 is: 924.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.80 : 1,657.09 = 669.67 : x
  2. Step 2: Convert to fraction form
    1,200.80/1,657.09 = 669.67/x
  3. Step 3: Cross multiply
    1,200.80x = 1,657.09 × 669.67
  4. Step 4: Simplify right side
    1,200.80x = 1,109,700.11
  5. Step 5: Solve for x
    x = 1,109,700.11/1,200.80
  6. Step 6: Final answer
    x = 924.14

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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.