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Finding the Fourth Proportional to 1,220.53, 1,684.23 and 689.54

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Solution

The fourth proportional to 1,220.53, 1,684.23 and 689.54 is: 951.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.53 : 1,684.23 = 689.54 : x
  2. Step 2: Convert to fraction form
    1,220.53/1,684.23 = 689.54/x
  3. Step 3: Cross multiply
    1,220.53x = 1,684.23 × 689.54
  4. Step 4: Simplify right side
    1,220.53x = 1,161,348.16
  5. Step 5: Solve for x
    x = 1,161,348.16/1,220.53
  6. Step 6: Final answer
    x = 951.51

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1.5x scale

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.