Home / 1,216.85-1,823.75-522.72

Finding the Fourth Proportional to 1,216.85, 1,823.75 and 522.72

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Solution

The fourth proportional to 1,216.85, 1,823.75 and 522.72 is: 783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.85 : 1,823.75 = 522.72 : x
  2. Step 2: Convert to fraction form
    1,216.85/1,823.75 = 522.72/x
  3. Step 3: Cross multiply
    1,216.85x = 1,823.75 × 522.72
  4. Step 4: Simplify right side
    1,216.85x = 953,302.79
  5. Step 5: Solve for x
    x = 953,302.79/1,216.85
  6. Step 6: Final answer
    x = 783.42

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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.