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Finding the Fourth Proportional to 950.93, 1,312.67 and 619.23

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Solution

The fourth proportional to 950.93, 1,312.67 and 619.23 is: 854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    950.93 : 1,312.67 = 619.23 : x
  2. Step 2: Convert to fraction form
    950.93/1,312.67 = 619.23/x
  3. Step 3: Cross multiply
    950.93x = 1,312.67 × 619.23
  4. Step 4: Simplify right side
    950.93x = 812,844.64
  5. Step 5: Solve for x
    x = 812,844.64/950.93
  6. Step 6: Final answer
    x = 854.79

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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.