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Finding the Fourth Proportional to 899.50, 1,240.73 and 637.06

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Solution

The fourth proportional to 899.50, 1,240.73 and 637.06 is: 878.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.50 : 1,240.73 = 637.06 : x
  2. Step 2: Convert to fraction form
    899.50/1,240.73 = 637.06/x
  3. Step 3: Cross multiply
    899.50x = 1,240.73 × 637.06
  4. Step 4: Simplify right side
    899.50x = 790,419.45
  5. Step 5: Solve for x
    x = 790,419.45/899.50
  6. Step 6: Final answer
    x = 878.73

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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.