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Finding the Fourth Proportional to 1,471.83, 2,207.61 and 650.10

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Solution

The fourth proportional to 1,471.83, 2,207.61 and 650.10 is: 975.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.83 : 2,207.61 = 650.10 : x
  2. Step 2: Convert to fraction form
    1,471.83/2,207.61 = 650.10/x
  3. Step 3: Cross multiply
    1,471.83x = 2,207.61 × 650.10
  4. Step 4: Simplify right side
    1,471.83x = 1,435,167.26
  5. Step 5: Solve for x
    x = 1,435,167.26/1,471.83
  6. Step 6: Final answer
    x = 975.09

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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.