Home / 1,214.27-1,820.15-665.30

Finding the Fourth Proportional to 1,214.27, 1,820.15 and 665.30

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Solution

The fourth proportional to 1,214.27, 1,820.15 and 665.30 is: 997.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.27 : 1,820.15 = 665.30 : x
  2. Step 2: Convert to fraction form
    1,214.27/1,820.15 = 665.30/x
  3. Step 3: Cross multiply
    1,214.27x = 1,820.15 × 665.30
  4. Step 4: Simplify right side
    1,214.27x = 1,210,943.02
  5. Step 5: Solve for x
    x = 1,210,943.02/1,214.27
  6. Step 6: Final answer
    x = 997.26

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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.