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Finding the Fourth Proportional to 669.64, 1,007.34 and 574.60

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Solution

The fourth proportional to 669.64, 1,007.34 and 574.60 is: 864.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    669.64 : 1,007.34 = 574.60 : x
  2. Step 2: Convert to fraction form
    669.64/1,007.34 = 574.60/x
  3. Step 3: Cross multiply
    669.64x = 1,007.34 × 574.60
  4. Step 4: Simplify right side
    669.64x = 578,817.56
  5. Step 5: Solve for x
    x = 578,817.56/669.64
  6. Step 6: Final answer
    x = 864.37

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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.