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Finding the Fourth Proportional to 669.65, 924.17 and 374.94

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Solution

The fourth proportional to 669.65, 924.17 and 374.94 is: 517.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.65 : 924.17 = 374.94 : x
  2. Step 2: Convert to fraction form
    669.65/924.17 = 374.94/x
  3. Step 3: Cross multiply
    669.65x = 924.17 × 374.94
  4. Step 4: Simplify right side
    669.65x = 346,506.43
  5. Step 5: Solve for x
    x = 346,506.43/669.65
  6. Step 6: Final answer
    x = 517.45

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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.