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Finding the Fourth Proportional to 1,220.28, 1,683.90 and 689.25

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Solution

The fourth proportional to 1,220.28, 1,683.90 and 689.25 is: 951.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.28 : 1,683.90 = 689.25 : x
  2. Step 2: Convert to fraction form
    1,220.28/1,683.90 = 689.25/x
  3. Step 3: Cross multiply
    1,220.28x = 1,683.90 × 689.25
  4. Step 4: Simplify right side
    1,220.28x = 1,160,628.08
  5. Step 5: Solve for x
    x = 1,160,628.08/1,220.28
  6. Step 6: Final answer
    x = 951.12

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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.