Home / 1,215.13-1,823.09-435.12

Finding the Fourth Proportional to 1,215.13, 1,823.09 and 435.12

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Solution

The fourth proportional to 1,215.13, 1,823.09 and 435.12 is: 652.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.13 : 1,823.09 = 435.12 : x
  2. Step 2: Convert to fraction form
    1,215.13/1,823.09 = 435.12/x
  3. Step 3: Cross multiply
    1,215.13x = 1,823.09 × 435.12
  4. Step 4: Simplify right side
    1,215.13x = 793,262.92
  5. Step 5: Solve for x
    x = 793,262.92/1,215.13
  6. Step 6: Final answer
    x = 652.82

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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.