Home / 1,216.03-1,823.32-512.40

Finding the Fourth Proportional to 1,216.03, 1,823.32 and 512.40

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Solution

The fourth proportional to 1,216.03, 1,823.32 and 512.40 is: 768.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.03 : 1,823.32 = 512.40 : x
  2. Step 2: Convert to fraction form
    1,216.03/1,823.32 = 512.40/x
  3. Step 3: Cross multiply
    1,216.03x = 1,823.32 × 512.40
  4. Step 4: Simplify right side
    1,216.03x = 934,269.17
  5. Step 5: Solve for x
    x = 934,269.17/1,216.03
  6. Step 6: Final answer
    x = 768.29

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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.