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Finding the Fourth Proportional to 899.15, 1,240.81 and 500.80

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Solution

The fourth proportional to 899.15, 1,240.81 and 500.80 is: 691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.15 : 1,240.81 = 500.80 : x
  2. Step 2: Convert to fraction form
    899.15/1,240.81 = 500.80/x
  3. Step 3: Cross multiply
    899.15x = 1,240.81 × 500.80
  4. Step 4: Simplify right side
    899.15x = 621,393.29
  5. Step 5: Solve for x
    x = 621,393.29/899.15
  6. Step 6: Final answer
    x = 691.09

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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.