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Finding the Fourth Proportional to 663.76, 995.97 and 470.01

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Solution

The fourth proportional to 663.76, 995.97 and 470.01 is: 705.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.76 : 995.97 = 470.01 : x
  2. Step 2: Convert to fraction form
    663.76/995.97 = 470.01/x
  3. Step 3: Cross multiply
    663.76x = 995.97 × 470.01
  4. Step 4: Simplify right side
    663.76x = 468,113.11
  5. Step 5: Solve for x
    x = 468,113.11/663.76
  6. Step 6: Final answer
    x = 705.24

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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.