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Finding the Fourth Proportional to 855.50, 1,281.97 and 465.70

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Solution

The fourth proportional to 855.50, 1,281.97 and 465.70 is: 697.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.50 : 1,281.97 = 465.70 : x
  2. Step 2: Convert to fraction form
    855.50/1,281.97 = 465.70/x
  3. Step 3: Cross multiply
    855.50x = 1,281.97 × 465.70
  4. Step 4: Simplify right side
    855.50x = 597,013.43
  5. Step 5: Solve for x
    x = 597,013.43/855.50
  6. Step 6: Final answer
    x = 697.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.