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Finding the Fourth Proportional to 1,459.55, 2,187.93 and 484.97

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Solution

The fourth proportional to 1,459.55, 2,187.93 and 484.97 is: 726.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,459.55 : 2,187.93 = 484.97 : x
  2. Step 2: Convert to fraction form
    1,459.55/2,187.93 = 484.97/x
  3. Step 3: Cross multiply
    1,459.55x = 2,187.93 × 484.97
  4. Step 4: Simplify right side
    1,459.55x = 1,061,069.47
  5. Step 5: Solve for x
    x = 1,061,069.47/1,459.55
  6. Step 6: Final answer
    x = 726.99

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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.