Home / 1,215.31-1,822.77-435.18

Finding the Fourth Proportional to 1,215.31, 1,822.77 and 435.18

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Solution

The fourth proportional to 1,215.31, 1,822.77 and 435.18 is: 652.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.31 : 1,822.77 = 435.18 : x
  2. Step 2: Convert to fraction form
    1,215.31/1,822.77 = 435.18/x
  3. Step 3: Cross multiply
    1,215.31x = 1,822.77 × 435.18
  4. Step 4: Simplify right side
    1,215.31x = 793,233.05
  5. Step 5: Solve for x
    x = 793,233.05/1,215.31
  6. Step 6: Final answer
    x = 652.70

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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.