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Finding the Fourth Proportional to 919.22, 1,267.72 and 731.30

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Solution

The fourth proportional to 919.22, 1,267.72 and 731.30 is: 1,008.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.22 : 1,267.72 = 731.30 : x
  2. Step 2: Convert to fraction form
    919.22/1,267.72 = 731.30/x
  3. Step 3: Cross multiply
    919.22x = 1,267.72 × 731.30
  4. Step 4: Simplify right side
    919.22x = 927,075.47
  5. Step 5: Solve for x
    x = 927,075.47/919.22
  6. Step 6: Final answer
    x = 1,008.55

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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.