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Finding the Fourth Proportional to 950.72, 1,427.04 and 918.08

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Solution

The fourth proportional to 950.72, 1,427.04 and 918.08 is: 1,378.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.72 : 1,427.04 = 918.08 : x
  2. Step 2: Convert to fraction form
    950.72/1,427.04 = 918.08/x
  3. Step 3: Cross multiply
    950.72x = 1,427.04 × 918.08
  4. Step 4: Simplify right side
    950.72x = 1,310,136.88
  5. Step 5: Solve for x
    x = 1,310,136.88/950.72
  6. Step 6: Final answer
    x = 1,378.05

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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.