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Finding the Fourth Proportional to 1,367.91, 2,053.80 and 701.30

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Solution

The fourth proportional to 1,367.91, 2,053.80 and 701.30 is: 1,052.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367.91 : 2,053.80 = 701.30 : x
  2. Step 2: Convert to fraction form
    1,367.91/2,053.80 = 701.30/x
  3. Step 3: Cross multiply
    1,367.91x = 2,053.80 × 701.30
  4. Step 4: Simplify right side
    1,367.91x = 1,440,317.04
  5. Step 5: Solve for x
    x = 1,440,317.04/1,367.91
  6. Step 6: Final answer
    x = 1,052.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.