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Finding the Fourth Proportional to 1,457.06, 2,184.06 and 482.54

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Solution

The fourth proportional to 1,457.06, 2,184.06 and 482.54 is: 723.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,457.06 : 2,184.06 = 482.54 : x
  2. Step 2: Convert to fraction form
    1,457.06/2,184.06 = 482.54/x
  3. Step 3: Cross multiply
    1,457.06x = 2,184.06 × 482.54
  4. Step 4: Simplify right side
    1,457.06x = 1,053,896.31
  5. Step 5: Solve for x
    x = 1,053,896.31/1,457.06
  6. Step 6: Final answer
    x = 723.30

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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.