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Finding the Fourth Proportional to 1,233.53, 1,714.35 and 1,220.57

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Solution

The fourth proportional to 1,233.53, 1,714.35 and 1,220.57 is: 1,696.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.53 : 1,714.35 = 1,220.57 : x
  2. Step 2: Convert to fraction form
    1,233.53/1,714.35 = 1,220.57/x
  3. Step 3: Cross multiply
    1,233.53x = 1,714.35 × 1,220.57
  4. Step 4: Simplify right side
    1,233.53x = 2,092,478.08
  5. Step 5: Solve for x
    x = 2,092,478.08/1,233.53
  6. Step 6: Final answer
    x = 1,696.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.