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Finding the Fourth Proportional to 899, 1,240.64 and 506.08

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Solution

The fourth proportional to 899, 1,240.64 and 506.08 is: 698.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    899 : 1,240.64 = 506.08 : x
  2. Step 2: Convert to fraction form
    899/1,240.64 = 506.08/x
  3. Step 3: Cross multiply
    899x = 1,240.64 × 506.08
  4. Step 4: Simplify right side
    899x = 627,863.09
  5. Step 5: Solve for x
    x = 627,863.09/899
  6. Step 6: Final answer
    x = 698.40

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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.