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Finding the Fourth Proportional to 823.50, 1,135.82 and 508.61

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Solution

The fourth proportional to 823.50, 1,135.82 and 508.61 is: 701.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.50 : 1,135.82 = 508.61 : x
  2. Step 2: Convert to fraction form
    823.50/1,135.82 = 508.61/x
  3. Step 3: Cross multiply
    823.50x = 1,135.82 × 508.61
  4. Step 4: Simplify right side
    823.50x = 577,693.52
  5. Step 5: Solve for x
    x = 577,693.52/823.50
  6. Step 6: Final answer
    x = 701.51

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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.