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Finding the Fourth Proportional to 665.18, 993.41 and 566.63

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Solution

The fourth proportional to 665.18, 993.41 and 566.63 is: 846.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.18 : 993.41 = 566.63 : x
  2. Step 2: Convert to fraction form
    665.18/993.41 = 566.63/x
  3. Step 3: Cross multiply
    665.18x = 993.41 × 566.63
  4. Step 4: Simplify right side
    665.18x = 562,888.11
  5. Step 5: Solve for x
    x = 562,888.11/665.18
  6. Step 6: Final answer
    x = 846.23

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.