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Finding the Fourth Proportional to 666.29, 998.63 and 470.99

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Solution

The fourth proportional to 666.29, 998.63 and 470.99 is: 705.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    666.29 : 998.63 = 470.99 : x
  2. Step 2: Convert to fraction form
    666.29/998.63 = 470.99/x
  3. Step 3: Cross multiply
    666.29x = 998.63 × 470.99
  4. Step 4: Simplify right side
    666.29x = 470,344.74
  5. Step 5: Solve for x
    x = 470,344.74/666.29
  6. Step 6: Final answer
    x = 705.92

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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.