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Finding the Fourth Proportional to 950.42, 1,311.64 and 557.40

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Solution

The fourth proportional to 950.42, 1,311.64 and 557.40 is: 769.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.42 : 1,311.64 = 557.40 : x
  2. Step 2: Convert to fraction form
    950.42/1,311.64 = 557.40/x
  3. Step 3: Cross multiply
    950.42x = 1,311.64 × 557.40
  4. Step 4: Simplify right side
    950.42x = 731,108.14
  5. Step 5: Solve for x
    x = 731,108.14/950.42
  6. Step 6: Final answer
    x = 769.25

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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.