Home / 1,285.69-1,928.55-463.78

Finding the Fourth Proportional to 1,285.69, 1,928.55 and 463.78

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Solution

The fourth proportional to 1,285.69, 1,928.55 and 463.78 is: 695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.69 : 1,928.55 = 463.78 : x
  2. Step 2: Convert to fraction form
    1,285.69/1,928.55 = 463.78/x
  3. Step 3: Cross multiply
    1,285.69x = 1,928.55 × 463.78
  4. Step 4: Simplify right side
    1,285.69x = 894,422.92
  5. Step 5: Solve for x
    x = 894,422.92/1,285.69
  6. Step 6: Final answer
    x = 695.68

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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.