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Finding the Fourth Proportional to 1,220.87, 1,684.29 and 801.70

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Solution

The fourth proportional to 1,220.87, 1,684.29 and 801.70 is: 1,106.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.87 : 1,684.29 = 801.70 : x
  2. Step 2: Convert to fraction form
    1,220.87/1,684.29 = 801.70/x
  3. Step 3: Cross multiply
    1,220.87x = 1,684.29 × 801.70
  4. Step 4: Simplify right side
    1,220.87x = 1,350,294.09
  5. Step 5: Solve for x
    x = 1,350,294.09/1,220.87
  6. Step 6: Final answer
    x = 1,106.01

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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.