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Finding the Fourth Proportional to 1,236.50, 1,701.24 and 1,070.18

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Solution

The fourth proportional to 1,236.50, 1,701.24 and 1,070.18 is: 1,472.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.50 : 1,701.24 = 1,070.18 : x
  2. Step 2: Convert to fraction form
    1,236.50/1,701.24 = 1,070.18/x
  3. Step 3: Cross multiply
    1,236.50x = 1,701.24 × 1,070.18
  4. Step 4: Simplify right side
    1,236.50x = 1,820,633.02
  5. Step 5: Solve for x
    x = 1,820,633.02/1,236.50
  6. Step 6: Final answer
    x = 1,472.41

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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.