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Finding the Fourth Proportional to 1,220.51, 1,684.16 and 689.33

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Solution

The fourth proportional to 1,220.51, 1,684.16 and 689.33 is: 951.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.51 : 1,684.16 = 689.33 : x
  2. Step 2: Convert to fraction form
    1,220.51/1,684.16 = 689.33/x
  3. Step 3: Cross multiply
    1,220.51x = 1,684.16 × 689.33
  4. Step 4: Simplify right side
    1,220.51x = 1,160,949.24
  5. Step 5: Solve for x
    x = 1,160,949.24/1,220.51
  6. Step 6: Final answer
    x = 951.20

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Double scale
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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.