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Finding the Fourth Proportional to 1,221.59, 1,832.70 and 431.15

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Solution

The fourth proportional to 1,221.59, 1,832.70 and 431.15 is: 646.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,221.59 : 1,832.70 = 431.15 : x
  2. Step 2: Convert to fraction form
    1,221.59/1,832.70 = 431.15/x
  3. Step 3: Cross multiply
    1,221.59x = 1,832.70 × 431.15
  4. Step 4: Simplify right side
    1,221.59x = 790,165.00
  5. Step 5: Solve for x
    x = 790,165.00/1,221.59
  6. Step 6: Final answer
    x = 646.83

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1.5x scale

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.