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Finding the Fourth Proportional to 950.78, 1,312.40 and 557.66

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Solution

The fourth proportional to 950.78, 1,312.40 and 557.66 is: 769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.78 : 1,312.40 = 557.66 : x
  2. Step 2: Convert to fraction form
    950.78/1,312.40 = 557.66/x
  3. Step 3: Cross multiply
    950.78x = 1,312.40 × 557.66
  4. Step 4: Simplify right side
    950.78x = 731,872.98
  5. Step 5: Solve for x
    x = 731,872.98/950.78
  6. Step 6: Final answer
    x = 769.76

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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.