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Finding the Fourth Proportional to 1,511.63, 2,266.84 and 471.29

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Solution

The fourth proportional to 1,511.63, 2,266.84 and 471.29 is: 706.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,511.63 : 2,266.84 = 471.29 : x
  2. Step 2: Convert to fraction form
    1,511.63/2,266.84 = 471.29/x
  3. Step 3: Cross multiply
    1,511.63x = 2,266.84 × 471.29
  4. Step 4: Simplify right side
    1,511.63x = 1,068,325.63
  5. Step 5: Solve for x
    x = 1,068,325.63/1,511.63
  6. Step 6: Final answer
    x = 706.74

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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.