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Finding the Fourth Proportional to 899.01, 1,240.50 and 506.01

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Solution

The fourth proportional to 899.01, 1,240.50 and 506.01 is: 698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.01 : 1,240.50 = 506.01 : x
  2. Step 2: Convert to fraction form
    899.01/1,240.50 = 506.01/x
  3. Step 3: Cross multiply
    899.01x = 1,240.50 × 506.01
  4. Step 4: Simplify right side
    899.01x = 627,705.41
  5. Step 5: Solve for x
    x = 627,705.41/899.01
  6. Step 6: Final answer
    x = 698.22

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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.