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Finding the Fourth Proportional to 1,718.66, 2,578.01 and 486.11

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Solution

The fourth proportional to 1,718.66, 2,578.01 and 486.11 is: 729.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,718.66 : 2,578.01 = 486.11 : x
  2. Step 2: Convert to fraction form
    1,718.66/2,578.01 = 486.11/x
  3. Step 3: Cross multiply
    1,718.66x = 2,578.01 × 486.11
  4. Step 4: Simplify right side
    1,718.66x = 1,253,181.12
  5. Step 5: Solve for x
    x = 1,253,181.12/1,718.66
  6. Step 6: Final answer
    x = 729.16

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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.