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Finding the Fourth Proportional to 823.20, 1,135.68 and 508.24

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Solution

The fourth proportional to 823.20, 1,135.68 and 508.24 is: 701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.20 : 1,135.68 = 508.24 : x
  2. Step 2: Convert to fraction form
    823.20/1,135.68 = 508.24/x
  3. Step 3: Cross multiply
    823.20x = 1,135.68 × 508.24
  4. Step 4: Simplify right side
    823.20x = 577,198.00
  5. Step 5: Solve for x
    x = 577,198.00/823.20
  6. Step 6: Final answer
    x = 701.16

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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.