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Finding the Fourth Proportional to 669.89, 922.97 and 501.14

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Solution

The fourth proportional to 669.89, 922.97 and 501.14 is: 690.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.89 : 922.97 = 501.14 : x
  2. Step 2: Convert to fraction form
    669.89/922.97 = 501.14/x
  3. Step 3: Cross multiply
    669.89x = 922.97 × 501.14
  4. Step 4: Simplify right side
    669.89x = 462,530.07
  5. Step 5: Solve for x
    x = 462,530.07/669.89
  6. Step 6: Final answer
    x = 690.46

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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.