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Finding the Fourth Proportional to 897.88, 1,339.96 and 800.68

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Solution

The fourth proportional to 897.88, 1,339.96 and 800.68 is: 1,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.88 : 1,339.96 = 800.68 : x
  2. Step 2: Convert to fraction form
    897.88/1,339.96 = 800.68/x
  3. Step 3: Cross multiply
    897.88x = 1,339.96 × 800.68
  4. Step 4: Simplify right side
    897.88x = 1,072,879.17
  5. Step 5: Solve for x
    x = 1,072,879.17/897.88
  6. Step 6: Final answer
    x = 1,194.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.