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Finding the Fourth Proportional to 665.91, 993.78 and 593.01

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Solution

The fourth proportional to 665.91, 993.78 and 593.01 is: 884.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.91 : 993.78 = 593.01 : x
  2. Step 2: Convert to fraction form
    665.91/993.78 = 593.01/x
  3. Step 3: Cross multiply
    665.91x = 993.78 × 593.01
  4. Step 4: Simplify right side
    665.91x = 589,321.48
  5. Step 5: Solve for x
    x = 589,321.48/665.91
  6. Step 6: Final answer
    x = 884.99

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