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Finding the Fourth Proportional to 669.93, 1,004.91 and 345.12

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Solution

The fourth proportional to 669.93, 1,004.91 and 345.12 is: 517.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.93 : 1,004.91 = 345.12 : x
  2. Step 2: Convert to fraction form
    669.93/1,004.91 = 345.12/x
  3. Step 3: Cross multiply
    669.93x = 1,004.91 × 345.12
  4. Step 4: Simplify right side
    669.93x = 346,814.54
  5. Step 5: Solve for x
    x = 346,814.54/669.93
  6. Step 6: Final answer
    x = 517.69

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