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Finding the Fourth Proportional to 663.58, 995.10 and 509.68

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Solution

The fourth proportional to 663.58, 995.10 and 509.68 is: 764.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.58 : 995.10 = 509.68 : x
  2. Step 2: Convert to fraction form
    663.58/995.10 = 509.68/x
  3. Step 3: Cross multiply
    663.58x = 995.10 × 509.68
  4. Step 4: Simplify right side
    663.58x = 507,182.57
  5. Step 5: Solve for x
    x = 507,182.57/663.58
  6. Step 6: Final answer
    x = 764.31

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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.