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Finding the Fourth Proportional to 667.13, 920.21 and 501.08

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Solution

The fourth proportional to 667.13, 920.21 and 501.08 is: 691.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.13 : 920.21 = 501.08 : x
  2. Step 2: Convert to fraction form
    667.13/920.21 = 501.08/x
  3. Step 3: Cross multiply
    667.13x = 920.21 × 501.08
  4. Step 4: Simplify right side
    667.13x = 461,091.72
  5. Step 5: Solve for x
    x = 461,091.72/667.13
  6. Step 6: Final answer
    x = 691.16

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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.