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Finding the Fourth Proportional to 664.29, 995.58 and 534.69

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Solution

The fourth proportional to 664.29, 995.58 and 534.69 is: 801.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.29 : 995.58 = 534.69 : x
  2. Step 2: Convert to fraction form
    664.29/995.58 = 534.69/x
  3. Step 3: Cross multiply
    664.29x = 995.58 × 534.69
  4. Step 4: Simplify right side
    664.29x = 532,326.67
  5. Step 5: Solve for x
    x = 532,326.67/664.29
  6. Step 6: Final answer
    x = 801.35

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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.