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Finding the Fourth Proportional to 1,008.72, 1,511.78 and 453.02

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Solution

The fourth proportional to 1,008.72, 1,511.78 and 453.02 is: 678.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,008.72 : 1,511.78 = 453.02 : x
  2. Step 2: Convert to fraction form
    1,008.72/1,511.78 = 453.02/x
  3. Step 3: Cross multiply
    1,008.72x = 1,511.78 × 453.02
  4. Step 4: Simplify right side
    1,008.72x = 684,864.31
  5. Step 5: Solve for x
    x = 684,864.31/1,008.72
  6. Step 6: Final answer
    x = 678.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.