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Finding the Fourth Proportional to 899.72, 1,242.21 and 580.86

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Solution

The fourth proportional to 899.72, 1,242.21 and 580.86 is: 801.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.72 : 1,242.21 = 580.86 : x
  2. Step 2: Convert to fraction form
    899.72/1,242.21 = 580.86/x
  3. Step 3: Cross multiply
    899.72x = 1,242.21 × 580.86
  4. Step 4: Simplify right side
    899.72x = 721,550.10
  5. Step 5: Solve for x
    x = 721,550.10/899.72
  6. Step 6: Final answer
    x = 801.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.