Home / 1,285.95-1,928.71-464.61

Finding the Fourth Proportional to 1,285.95, 1,928.71 and 464.61

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Solution

The fourth proportional to 1,285.95, 1,928.71 and 464.61 is: 696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.95 : 1,928.71 = 464.61 : x
  2. Step 2: Convert to fraction form
    1,285.95/1,928.71 = 464.61/x
  3. Step 3: Cross multiply
    1,285.95x = 1,928.71 × 464.61
  4. Step 4: Simplify right side
    1,285.95x = 896,097.95
  5. Step 5: Solve for x
    x = 896,097.95/1,285.95
  6. Step 6: Final answer
    x = 696.84

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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.