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Finding the Fourth Proportional to 665.54, 997.76 and 460.50

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Solution

The fourth proportional to 665.54, 997.76 and 460.50 is: 690.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.54 : 997.76 = 460.50 : x
  2. Step 2: Convert to fraction form
    665.54/997.76 = 460.50/x
  3. Step 3: Cross multiply
    665.54x = 997.76 × 460.50
  4. Step 4: Simplify right side
    665.54x = 459,466.18
  5. Step 5: Solve for x
    x = 459,466.18/665.54
  6. Step 6: Final answer
    x = 690.37

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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.