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Finding the Fourth Proportional to 855.58, 1,283.78 and 465.58

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Solution

The fourth proportional to 855.58, 1,283.78 and 465.58 is: 698.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.58 : 1,283.78 = 465.58 : x
  2. Step 2: Convert to fraction form
    855.58/1,283.78 = 465.58/x
  3. Step 3: Cross multiply
    855.58x = 1,283.78 × 465.58
  4. Step 4: Simplify right side
    855.58x = 597,702.29
  5. Step 5: Solve for x
    x = 597,702.29/855.58
  6. Step 6: Final answer
    x = 698.59

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1.5x scale

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.