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Finding the Fourth Proportional to 669.92, 924.53 and 375.21

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Solution

The fourth proportional to 669.92, 924.53 and 375.21 is: 517.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.92 : 924.53 = 375.21 : x
  2. Step 2: Convert to fraction form
    669.92/924.53 = 375.21/x
  3. Step 3: Cross multiply
    669.92x = 924.53 × 375.21
  4. Step 4: Simplify right side
    669.92x = 346,888.28
  5. Step 5: Solve for x
    x = 346,888.28/669.92
  6. Step 6: Final answer
    x = 517.81

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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.