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Finding the Fourth Proportional to 919.69, 1,272.50 and 801.91

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Solution

The fourth proportional to 919.69, 1,272.50 and 801.91 is: 1,109.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.69 : 1,272.50 = 801.91 : x
  2. Step 2: Convert to fraction form
    919.69/1,272.50 = 801.91/x
  3. Step 3: Cross multiply
    919.69x = 1,272.50 × 801.91
  4. Step 4: Simplify right side
    919.69x = 1,020,429.74
  5. Step 5: Solve for x
    x = 1,020,429.74/919.69
  6. Step 6: Final answer
    x = 1,109.54

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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.