Home / 1,208.02-1,811.52-514.66

Finding the Fourth Proportional to 1,208.02, 1,811.52 and 514.66

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Solution

The fourth proportional to 1,208.02, 1,811.52 and 514.66 is: 771.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.02 : 1,811.52 = 514.66 : x
  2. Step 2: Convert to fraction form
    1,208.02/1,811.52 = 514.66/x
  3. Step 3: Cross multiply
    1,208.02x = 1,811.52 × 514.66
  4. Step 4: Simplify right side
    1,208.02x = 932,316.88
  5. Step 5: Solve for x
    x = 932,316.88/1,208.02
  6. Step 6: Final answer
    x = 771.77

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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.