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Finding the Fourth Proportional to 897.72, 1,238.94 and 649.86

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Solution

The fourth proportional to 897.72, 1,238.94 and 649.86 is: 896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.72 : 1,238.94 = 649.86 : x
  2. Step 2: Convert to fraction form
    897.72/1,238.94 = 649.86/x
  3. Step 3: Cross multiply
    897.72x = 1,238.94 × 649.86
  4. Step 4: Simplify right side
    897.72x = 805,137.55
  5. Step 5: Solve for x
    x = 805,137.55/897.72
  6. Step 6: Final answer
    x = 896.87

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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.