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Finding the Fourth Proportional to 859.08, 1,289.46 and 448.53

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Solution

The fourth proportional to 859.08, 1,289.46 and 448.53 is: 673.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    859.08 : 1,289.46 = 448.53 : x
  2. Step 2: Convert to fraction form
    859.08/1,289.46 = 448.53/x
  3. Step 3: Cross multiply
    859.08x = 1,289.46 × 448.53
  4. Step 4: Simplify right side
    859.08x = 578,361.49
  5. Step 5: Solve for x
    x = 578,361.49/859.08
  6. Step 6: Final answer
    x = 673.23

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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.