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Finding the Fourth Proportional to 902.13, 1,244.57 and 607.49

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Solution

The fourth proportional to 902.13, 1,244.57 and 607.49 is: 838.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.13 : 1,244.57 = 607.49 : x
  2. Step 2: Convert to fraction form
    902.13/1,244.57 = 607.49/x
  3. Step 3: Cross multiply
    902.13x = 1,244.57 × 607.49
  4. Step 4: Simplify right side
    902.13x = 756,059.24
  5. Step 5: Solve for x
    x = 756,059.24/902.13
  6. Step 6: Final answer
    x = 838.09

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Half scale
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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.