Home / 1,215.51-1,823.21-435.53

Finding the Fourth Proportional to 1,215.51, 1,823.21 and 435.53

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Solution

The fourth proportional to 1,215.51, 1,823.21 and 435.53 is: 653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.51 : 1,823.21 = 435.53 : x
  2. Step 2: Convert to fraction form
    1,215.51/1,823.21 = 435.53/x
  3. Step 3: Cross multiply
    1,215.51x = 1,823.21 × 435.53
  4. Step 4: Simplify right side
    1,215.51x = 794,056.41
  5. Step 5: Solve for x
    x = 794,056.41/1,215.51
  6. Step 6: Final answer
    x = 653.27

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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.