Home / 1,208.16-1,811.76-515.15

Finding the Fourth Proportional to 1,208.16, 1,811.76 and 515.15

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Solution

The fourth proportional to 1,208.16, 1,811.76 and 515.15 is: 772.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,208.16 : 1,811.76 = 515.15 : x
  2. Step 2: Convert to fraction form
    1,208.16/1,811.76 = 515.15/x
  3. Step 3: Cross multiply
    1,208.16x = 1,811.76 × 515.15
  4. Step 4: Simplify right side
    1,208.16x = 933,328.16
  5. Step 5: Solve for x
    x = 933,328.16/1,208.16
  6. Step 6: Final answer
    x = 772.52

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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.