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Finding the Fourth Proportional to 897.20, 1,238.28 and 838.64

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Solution

The fourth proportional to 897.20, 1,238.28 and 838.64 is: 1,157.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.20 : 1,238.28 = 838.64 : x
  2. Step 2: Convert to fraction form
    897.20/1,238.28 = 838.64/x
  3. Step 3: Cross multiply
    897.20x = 1,238.28 × 838.64
  4. Step 4: Simplify right side
    897.20x = 1,038,471.14
  5. Step 5: Solve for x
    x = 1,038,471.14/897.20
  6. Step 6: Final answer
    x = 1,157.46

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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.