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Finding the Fourth Proportional to 1,054.09, 1,454.53 and 611.91

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Solution

The fourth proportional to 1,054.09, 1,454.53 and 611.91 is: 844.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.09 : 1,454.53 = 611.91 : x
  2. Step 2: Convert to fraction form
    1,054.09/1,454.53 = 611.91/x
  3. Step 3: Cross multiply
    1,054.09x = 1,454.53 × 611.91
  4. Step 4: Simplify right side
    1,054.09x = 890,036.47
  5. Step 5: Solve for x
    x = 890,036.47/1,054.09
  6. Step 6: Final answer
    x = 844.36

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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.