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Finding the Fourth Proportional to 669.94, 1,006.68 and 345.52

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Solution

The fourth proportional to 669.94, 1,006.68 and 345.52 is: 519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.94 : 1,006.68 = 345.52 : x
  2. Step 2: Convert to fraction form
    669.94/1,006.68 = 345.52/x
  3. Step 3: Cross multiply
    669.94x = 1,006.68 × 345.52
  4. Step 4: Simplify right side
    669.94x = 347,828.07
  5. Step 5: Solve for x
    x = 347,828.07/669.94
  6. Step 6: Final answer
    x = 519.19

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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.