Home / 1,285.65-1,928.39-463.90

Finding the Fourth Proportional to 1,285.65, 1,928.39 and 463.90

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Solution

The fourth proportional to 1,285.65, 1,928.39 and 463.90 is: 695.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.65 : 1,928.39 = 463.90 : x
  2. Step 2: Convert to fraction form
    1,285.65/1,928.39 = 463.90/x
  3. Step 3: Cross multiply
    1,285.65x = 1,928.39 × 463.90
  4. Step 4: Simplify right side
    1,285.65x = 894,580.12
  5. Step 5: Solve for x
    x = 894,580.12/1,285.65
  6. Step 6: Final answer
    x = 695.82

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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.