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Finding the Fourth Proportional to 1,285.97, 1,928.16 and 591.75

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Solution

The fourth proportional to 1,285.97, 1,928.16 and 591.75 is: 887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.97 : 1,928.16 = 591.75 : x
  2. Step 2: Convert to fraction form
    1,285.97/1,928.16 = 591.75/x
  3. Step 3: Cross multiply
    1,285.97x = 1,928.16 × 591.75
  4. Step 4: Simplify right side
    1,285.97x = 1,140,985.72
  5. Step 5: Solve for x
    x = 1,140,985.72/1,285.97
  6. Step 6: Final answer
    x = 887.26

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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.