Home / 1,215.47-1,823.76-522.06

Finding the Fourth Proportional to 1,215.47, 1,823.76 and 522.06

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Solution

The fourth proportional to 1,215.47, 1,823.76 and 522.06 is: 783.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,215.47 : 1,823.76 = 522.06 : x
  2. Step 2: Convert to fraction form
    1,215.47/1,823.76 = 522.06/x
  3. Step 3: Cross multiply
    1,215.47x = 1,823.76 × 522.06
  4. Step 4: Simplify right side
    1,215.47x = 952,112.15
  5. Step 5: Solve for x
    x = 952,112.15/1,215.47
  6. Step 6: Final answer
    x = 783.33

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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.