Home / 1,285.45-1,928.16-463.71

Finding the Fourth Proportional to 1,285.45, 1,928.16 and 463.71

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Solution

The fourth proportional to 1,285.45, 1,928.16 and 463.71 is: 695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.45 : 1,928.16 = 463.71 : x
  2. Step 2: Convert to fraction form
    1,285.45/1,928.16 = 463.71/x
  3. Step 3: Cross multiply
    1,285.45x = 1,928.16 × 463.71
  4. Step 4: Simplify right side
    1,285.45x = 894,114.30
  5. Step 5: Solve for x
    x = 894,114.30/1,285.45
  6. Step 6: Final answer
    x = 695.57

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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.