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Finding the Fourth Proportional to 1,407.68, 1,942.18 and 1,220.87

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Solution

The fourth proportional to 1,407.68, 1,942.18 and 1,220.87 is: 1,684.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407.68 : 1,942.18 = 1,220.87 : x
  2. Step 2: Convert to fraction form
    1,407.68/1,942.18 = 1,220.87/x
  3. Step 3: Cross multiply
    1,407.68x = 1,942.18 × 1,220.87
  4. Step 4: Simplify right side
    1,407.68x = 2,371,151.10
  5. Step 5: Solve for x
    x = 2,371,151.10/1,407.68
  6. Step 6: Final answer
    x = 1,684.44

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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.