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Finding the Fourth Proportional to 663.47, 995.21 and 370.80

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Solution

The fourth proportional to 663.47, 995.21 and 370.80 is: 556.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.47 : 995.21 = 370.80 : x
  2. Step 2: Convert to fraction form
    663.47/995.21 = 370.80/x
  3. Step 3: Cross multiply
    663.47x = 995.21 × 370.80
  4. Step 4: Simplify right side
    663.47x = 369,024.80
  5. Step 5: Solve for x
    x = 369,024.80/663.47
  6. Step 6: Final answer
    x = 556.21

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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.