Home / 1,284.96-1,928.33-463.27

Finding the Fourth Proportional to 1,284.96, 1,928.33 and 463.27

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Solution

The fourth proportional to 1,284.96, 1,928.33 and 463.27 is: 695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.96 : 1,928.33 = 463.27 : x
  2. Step 2: Convert to fraction form
    1,284.96/1,928.33 = 463.27/x
  3. Step 3: Cross multiply
    1,284.96x = 1,928.33 × 463.27
  4. Step 4: Simplify right side
    1,284.96x = 893,325.48
  5. Step 5: Solve for x
    x = 893,325.48/1,284.96
  6. Step 6: Final answer
    x = 695.22

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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.