Home / 1,215.06-1,822.62-435.12

Finding the Fourth Proportional to 1,215.06, 1,822.62 and 435.12

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Solution

The fourth proportional to 1,215.06, 1,822.62 and 435.12 is: 652.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.06 : 1,822.62 = 435.12 : x
  2. Step 2: Convert to fraction form
    1,215.06/1,822.62 = 435.12/x
  3. Step 3: Cross multiply
    1,215.06x = 1,822.62 × 435.12
  4. Step 4: Simplify right side
    1,215.06x = 793,048.21
  5. Step 5: Solve for x
    x = 793,048.21/1,215.06
  6. Step 6: Final answer
    x = 652.68

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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.