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Finding the Fourth Proportional to 665.90, 917.96 and 500.12

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Solution

The fourth proportional to 665.90, 917.96 and 500.12 is: 689.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.90 : 917.96 = 500.12 : x
  2. Step 2: Convert to fraction form
    665.90/917.96 = 500.12/x
  3. Step 3: Cross multiply
    665.90x = 917.96 × 500.12
  4. Step 4: Simplify right side
    665.90x = 459,090.16
  5. Step 5: Solve for x
    x = 459,090.16/665.90
  6. Step 6: Final answer
    x = 689.43

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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.