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Finding the Fourth Proportional to 665.16, 917.01 and 490.92

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Solution

The fourth proportional to 665.16, 917.01 and 490.92 is: 676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.16 : 917.01 = 490.92 : x
  2. Step 2: Convert to fraction form
    665.16/917.01 = 490.92/x
  3. Step 3: Cross multiply
    665.16x = 917.01 × 490.92
  4. Step 4: Simplify right side
    665.16x = 450,178.55
  5. Step 5: Solve for x
    x = 450,178.55/665.16
  6. Step 6: Final answer
    x = 676.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.