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Finding the Fourth Proportional to 950.05, 1,309.12 and 700.98

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Solution

The fourth proportional to 950.05, 1,309.12 and 700.98 is: 965.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.05 : 1,309.12 = 700.98 : x
  2. Step 2: Convert to fraction form
    950.05/1,309.12 = 700.98/x
  3. Step 3: Cross multiply
    950.05x = 1,309.12 × 700.98
  4. Step 4: Simplify right side
    950.05x = 917,666.94
  5. Step 5: Solve for x
    x = 917,666.94/950.05
  6. Step 6: Final answer
    x = 965.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.