Home / 1,285.46-1,928.18-463.51

Finding the Fourth Proportional to 1,285.46, 1,928.18 and 463.51

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Solution

The fourth proportional to 1,285.46, 1,928.18 and 463.51 is: 695.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.46 : 1,928.18 = 463.51 : x
  2. Step 2: Convert to fraction form
    1,285.46/1,928.18 = 463.51/x
  3. Step 3: Cross multiply
    1,285.46x = 1,928.18 × 463.51
  4. Step 4: Simplify right side
    1,285.46x = 893,723.57
  5. Step 5: Solve for x
    x = 893,723.57/1,285.46
  6. Step 6: Final answer
    x = 695.26

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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.