Home / 1,207.28-1,811.48-427.87

Finding the Fourth Proportional to 1,207.28, 1,811.48 and 427.87

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Solution

The fourth proportional to 1,207.28, 1,811.48 and 427.87 is: 642.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207.28 : 1,811.48 = 427.87 : x
  2. Step 2: Convert to fraction form
    1,207.28/1,811.48 = 427.87/x
  3. Step 3: Cross multiply
    1,207.28x = 1,811.48 × 427.87
  4. Step 4: Simplify right side
    1,207.28x = 775,077.95
  5. Step 5: Solve for x
    x = 775,077.95/1,207.28
  6. Step 6: Final answer
    x = 642.00

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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.