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Finding the Fourth Proportional to 1,457.98, 2,186.61 and 418.08

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Solution

The fourth proportional to 1,457.98, 2,186.61 and 418.08 is: 627.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.98 : 2,186.61 = 418.08 : x
  2. Step 2: Convert to fraction form
    1,457.98/2,186.61 = 418.08/x
  3. Step 3: Cross multiply
    1,457.98x = 2,186.61 × 418.08
  4. Step 4: Simplify right side
    1,457.98x = 914,177.91
  5. Step 5: Solve for x
    x = 914,177.91/1,457.98
  6. Step 6: Final answer
    x = 627.02

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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.