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Finding the Fourth Proportional to 1,967.25, 2,950.17 and 650.76

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Solution

The fourth proportional to 1,967.25, 2,950.17 and 650.76 is: 975.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.25 : 2,950.17 = 650.76 : x
  2. Step 2: Convert to fraction form
    1,967.25/2,950.17 = 650.76/x
  3. Step 3: Cross multiply
    1,967.25x = 2,950.17 × 650.76
  4. Step 4: Simplify right side
    1,967.25x = 1,919,852.63
  5. Step 5: Solve for x
    x = 1,919,852.63/1,967.25
  6. Step 6: Final answer
    x = 975.91

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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.