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Finding the Fourth Proportional to 667.36, 920.46 and 501.58

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Solution

The fourth proportional to 667.36, 920.46 and 501.58 is: 691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.36 : 920.46 = 501.58 : x
  2. Step 2: Convert to fraction form
    667.36/920.46 = 501.58/x
  3. Step 3: Cross multiply
    667.36x = 920.46 × 501.58
  4. Step 4: Simplify right side
    667.36x = 461,684.33
  5. Step 5: Solve for x
    x = 461,684.33/667.36
  6. Step 6: Final answer
    x = 691.81

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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.