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Finding the Fourth Proportional to 824.20, 1,136.75 and 529.49

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Solution

The fourth proportional to 824.20, 1,136.75 and 529.49 is: 730.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.20 : 1,136.75 = 529.49 : x
  2. Step 2: Convert to fraction form
    824.20/1,136.75 = 529.49/x
  3. Step 3: Cross multiply
    824.20x = 1,136.75 × 529.49
  4. Step 4: Simplify right side
    824.20x = 601,897.76
  5. Step 5: Solve for x
    x = 601,897.76/824.20
  6. Step 6: Final answer
    x = 730.28

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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.