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Finding the Fourth Proportional to 897.13, 1,236.29 and 634.69

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Solution

The fourth proportional to 897.13, 1,236.29 and 634.69 is: 874.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.13 : 1,236.29 = 634.69 : x
  2. Step 2: Convert to fraction form
    897.13/1,236.29 = 634.69/x
  3. Step 3: Cross multiply
    897.13x = 1,236.29 × 634.69
  4. Step 4: Simplify right side
    897.13x = 784,660.90
  5. Step 5: Solve for x
    x = 784,660.90/897.13
  6. Step 6: Final answer
    x = 874.63

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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.