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Finding the Fourth Proportional to 1,064.03, 1,596.26 and 323.69

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Solution

The fourth proportional to 1,064.03, 1,596.26 and 323.69 is: 485.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.03 : 1,596.26 = 323.69 : x
  2. Step 2: Convert to fraction form
    1,064.03/1,596.26 = 323.69/x
  3. Step 3: Cross multiply
    1,064.03x = 1,596.26 × 323.69
  4. Step 4: Simplify right side
    1,064.03x = 516,693.40
  5. Step 5: Solve for x
    x = 516,693.40/1,064.03
  6. Step 6: Final answer
    x = 485.60

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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.