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Finding the Fourth Proportional to 899.12, 1,240.68 and 506.12

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Solution

The fourth proportional to 899.12, 1,240.68 and 506.12 is: 698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.12 : 1,240.68 = 506.12 : x
  2. Step 2: Convert to fraction form
    899.12/1,240.68 = 506.12/x
  3. Step 3: Cross multiply
    899.12x = 1,240.68 × 506.12
  4. Step 4: Simplify right side
    899.12x = 627,932.96
  5. Step 5: Solve for x
    x = 627,932.96/899.12
  6. Step 6: Final answer
    x = 698.39

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Double scale
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1.5x scale

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.