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Finding the Fourth Proportional to 664.61, 995.61 and 508.61

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Solution

The fourth proportional to 664.61, 995.61 and 508.61 is: 761.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.61 : 995.61 = 508.61 : x
  2. Step 2: Convert to fraction form
    664.61/995.61 = 508.61/x
  3. Step 3: Cross multiply
    664.61x = 995.61 × 508.61
  4. Step 4: Simplify right side
    664.61x = 506,377.20
  5. Step 5: Solve for x
    x = 506,377.20/664.61
  6. Step 6: Final answer
    x = 761.92

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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.