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Finding the Fourth Proportional to 824.20, 1,137.06 and 509.24

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Solution

The fourth proportional to 824.20, 1,137.06 and 509.24 is: 702.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.20 : 1,137.06 = 509.24 : x
  2. Step 2: Convert to fraction form
    824.20/1,137.06 = 509.24/x
  3. Step 3: Cross multiply
    824.20x = 1,137.06 × 509.24
  4. Step 4: Simplify right side
    824.20x = 579,036.43
  5. Step 5: Solve for x
    x = 579,036.43/824.20
  6. Step 6: Final answer
    x = 702.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.