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Finding the Fourth Proportional to 949.13, 1,422.62 and 717.26

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Solution

The fourth proportional to 949.13, 1,422.62 and 717.26 is: 1,075.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.13 : 1,422.62 = 717.26 : x
  2. Step 2: Convert to fraction form
    949.13/1,422.62 = 717.26/x
  3. Step 3: Cross multiply
    949.13x = 1,422.62 × 717.26
  4. Step 4: Simplify right side
    949.13x = 1,020,393.77
  5. Step 5: Solve for x
    x = 1,020,393.77/949.13
  6. Step 6: Final answer
    x = 1,075.09

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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.