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Finding the Fourth Proportional to 1,734.91, 2,602.95 and 761.65

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Solution

The fourth proportional to 1,734.91, 2,602.95 and 761.65 is: 1,142.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,734.91 : 2,602.95 = 761.65 : x
  2. Step 2: Convert to fraction form
    1,734.91/2,602.95 = 761.65/x
  3. Step 3: Cross multiply
    1,734.91x = 2,602.95 × 761.65
  4. Step 4: Simplify right side
    1,734.91x = 1,982,536.87
  5. Step 5: Solve for x
    x = 1,982,536.87/1,734.91
  6. Step 6: Final answer
    x = 1,142.73

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1.5x scale

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.