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Finding the Fourth Proportional to 1,767.50, 2,650.46 and 945.58

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Solution

The fourth proportional to 1,767.50, 2,650.46 and 945.58 is: 1,417.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.50 : 2,650.46 = 945.58 : x
  2. Step 2: Convert to fraction form
    1,767.50/2,650.46 = 945.58/x
  3. Step 3: Cross multiply
    1,767.50x = 2,650.46 × 945.58
  4. Step 4: Simplify right side
    1,767.50x = 2,506,221.97
  5. Step 5: Solve for x
    x = 2,506,221.97/1,767.50
  6. Step 6: Final answer
    x = 1,417.95

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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.