Home / 1,214.10-1,820.70-511.26

Finding the Fourth Proportional to 1,214.10, 1,820.70 and 511.26

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Solution

The fourth proportional to 1,214.10, 1,820.70 and 511.26 is: 766.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.10 : 1,820.70 = 511.26 : x
  2. Step 2: Convert to fraction form
    1,214.10/1,820.70 = 511.26/x
  3. Step 3: Cross multiply
    1,214.10x = 1,820.70 × 511.26
  4. Step 4: Simplify right side
    1,214.10x = 930,851.08
  5. Step 5: Solve for x
    x = 930,851.08/1,214.10
  6. Step 6: Final answer
    x = 766.70

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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.