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Finding the Fourth Proportional to 897.70, 1,238.49 and 662.21

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Solution

The fourth proportional to 897.70, 1,238.49 and 662.21 is: 913.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.70 : 1,238.49 = 662.21 : x
  2. Step 2: Convert to fraction form
    897.70/1,238.49 = 662.21/x
  3. Step 3: Cross multiply
    897.70x = 1,238.49 × 662.21
  4. Step 4: Simplify right side
    897.70x = 820,140.46
  5. Step 5: Solve for x
    x = 820,140.46/897.70
  6. Step 6: Final answer
    x = 913.60

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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.