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Finding the Fourth Proportional to 950.23, 1,312.14 and 919.27

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Solution

The fourth proportional to 950.23, 1,312.14 and 919.27 is: 1,269.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.23 : 1,312.14 = 919.27 : x
  2. Step 2: Convert to fraction form
    950.23/1,312.14 = 919.27/x
  3. Step 3: Cross multiply
    950.23x = 1,312.14 × 919.27
  4. Step 4: Simplify right side
    950.23x = 1,206,210.94
  5. Step 5: Solve for x
    x = 1,206,210.94/950.23
  6. Step 6: Final answer
    x = 1,269.39

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1.5x scale

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.