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Finding the Fourth Proportional to 1,760.85, 2,641.42 and 462.31

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Solution

The fourth proportional to 1,760.85, 2,641.42 and 462.31 is: 693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,760.85 : 2,641.42 = 462.31 : x
  2. Step 2: Convert to fraction form
    1,760.85/2,641.42 = 462.31/x
  3. Step 3: Cross multiply
    1,760.85x = 2,641.42 × 462.31
  4. Step 4: Simplify right side
    1,760.85x = 1,221,154.88
  5. Step 5: Solve for x
    x = 1,221,154.88/1,760.85
  6. Step 6: Final answer
    x = 693.50

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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.