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Finding the Fourth Proportional to 1,220.02, 1,683.62 and 722.90

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Solution

The fourth proportional to 1,220.02, 1,683.62 and 722.90 is: 997.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.02 : 1,683.62 = 722.90 : x
  2. Step 2: Convert to fraction form
    1,220.02/1,683.62 = 722.90/x
  3. Step 3: Cross multiply
    1,220.02x = 1,683.62 × 722.90
  4. Step 4: Simplify right side
    1,220.02x = 1,217,085.28
  5. Step 5: Solve for x
    x = 1,217,085.28/1,220.02
  6. Step 6: Final answer
    x = 997.60

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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.