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Finding the Fourth Proportional to 1,215.75, 1,823.49 and 435.72

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Solution

The fourth proportional to 1,215.75, 1,823.49 and 435.72 is: 653.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.75 : 1,823.49 = 435.72 : x
  2. Step 2: Convert to fraction form
    1,215.75/1,823.49 = 435.72/x
  3. Step 3: Cross multiply
    1,215.75x = 1,823.49 × 435.72
  4. Step 4: Simplify right side
    1,215.75x = 794,531.06
  5. Step 5: Solve for x
    x = 794,531.06/1,215.75
  6. Step 6: Final answer
    x = 653.53

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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.