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Finding the Fourth Proportional to 663.02, 993.72 and 582.02

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Solution

The fourth proportional to 663.02, 993.72 and 582.02 is: 872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    663.02 : 993.72 = 582.02 : x
  2. Step 2: Convert to fraction form
    663.02/993.72 = 582.02/x
  3. Step 3: Cross multiply
    663.02x = 993.72 × 582.02
  4. Step 4: Simplify right side
    663.02x = 578,364.91
  5. Step 5: Solve for x
    x = 578,364.91/663.02
  6. Step 6: Final answer
    x = 872.32

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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.