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Finding the Fourth Proportional to 665.87, 999.82 and 358.32

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Solution

The fourth proportional to 665.87, 999.82 and 358.32 is: 538.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.87 : 999.82 = 358.32 : x
  2. Step 2: Convert to fraction form
    665.87/999.82 = 358.32/x
  3. Step 3: Cross multiply
    665.87x = 999.82 × 358.32
  4. Step 4: Simplify right side
    665.87x = 358,255.50
  5. Step 5: Solve for x
    x = 358,255.50/665.87
  6. Step 6: Final answer
    x = 538.03

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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.