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Finding the Fourth Proportional to 669.65, 1,005.20 and 344.93

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Solution

The fourth proportional to 669.65, 1,005.20 and 344.93 is: 517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.65 : 1,005.20 = 344.93 : x
  2. Step 2: Convert to fraction form
    669.65/1,005.20 = 344.93/x
  3. Step 3: Cross multiply
    669.65x = 1,005.20 × 344.93
  4. Step 4: Simplify right side
    669.65x = 346,721.91
  5. Step 5: Solve for x
    x = 346,721.91/669.65
  6. Step 6: Final answer
    x = 517.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.