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Finding the Fourth Proportional to 855.88, 1,283.50 and 465.48

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Solution

The fourth proportional to 855.88, 1,283.50 and 465.48 is: 698.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.88 : 1,283.50 = 465.48 : x
  2. Step 2: Convert to fraction form
    855.88/1,283.50 = 465.48/x
  3. Step 3: Cross multiply
    855.88x = 1,283.50 × 465.48
  4. Step 4: Simplify right side
    855.88x = 597,443.58
  5. Step 5: Solve for x
    x = 597,443.58/855.88
  6. Step 6: Final answer
    x = 698.05

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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.