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Finding the Fourth Proportional to 950.90, 1,312.25 and 557.96

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Solution

The fourth proportional to 950.90, 1,312.25 and 557.96 is: 769.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.90 : 1,312.25 = 557.96 : x
  2. Step 2: Convert to fraction form
    950.90/1,312.25 = 557.96/x
  3. Step 3: Cross multiply
    950.90x = 1,312.25 × 557.96
  4. Step 4: Simplify right side
    950.90x = 732,173.66
  5. Step 5: Solve for x
    x = 732,173.66/950.90
  6. Step 6: Final answer
    x = 769.98

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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.