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Finding the Fourth Proportional to 665.41, 999.23 and 500.88

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Solution

The fourth proportional to 665.41, 999.23 and 500.88 is: 752.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.41 : 999.23 = 500.88 : x
  2. Step 2: Convert to fraction form
    665.41/999.23 = 500.88/x
  3. Step 3: Cross multiply
    665.41x = 999.23 × 500.88
  4. Step 4: Simplify right side
    665.41x = 500,494.32
  5. Step 5: Solve for x
    x = 500,494.32/665.41
  6. Step 6: Final answer
    x = 752.16

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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.