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Finding the Fourth Proportional to 665.16, 995.99 and 562.23

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Solution

The fourth proportional to 665.16, 995.99 and 562.23 is: 841.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.16 : 995.99 = 562.23 : x
  2. Step 2: Convert to fraction form
    665.16/995.99 = 562.23/x
  3. Step 3: Cross multiply
    665.16x = 995.99 × 562.23
  4. Step 4: Simplify right side
    665.16x = 559,972.65
  5. Step 5: Solve for x
    x = 559,972.65/665.16
  6. Step 6: Final answer
    x = 841.86

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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.