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Finding the Fourth Proportional to 1,051.73, 1,451.19 and 609.55

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Solution

The fourth proportional to 1,051.73, 1,451.19 and 609.55 is: 841.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.73 : 1,451.19 = 609.55 : x
  2. Step 2: Convert to fraction form
    1,051.73/1,451.19 = 609.55/x
  3. Step 3: Cross multiply
    1,051.73x = 1,451.19 × 609.55
  4. Step 4: Simplify right side
    1,051.73x = 884,571.52
  5. Step 5: Solve for x
    x = 884,571.52/1,051.73
  6. Step 6: Final answer
    x = 841.06

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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.