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Finding the Fourth Proportional to 902.08, 1,238.24 and 801.64

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Solution

The fourth proportional to 902.08, 1,238.24 and 801.64 is: 1,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.08 : 1,238.24 = 801.64 : x
  2. Step 2: Convert to fraction form
    902.08/1,238.24 = 801.64/x
  3. Step 3: Cross multiply
    902.08x = 1,238.24 × 801.64
  4. Step 4: Simplify right side
    902.08x = 992,622.71
  5. Step 5: Solve for x
    x = 992,622.71/902.08
  6. Step 6: Final answer
    x = 1,100.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.