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Finding the Fourth Proportional to 1,064.33, 1,596.47 and 333.91

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Solution

The fourth proportional to 1,064.33, 1,596.47 and 333.91 is: 500.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.33 : 1,596.47 = 333.91 : x
  2. Step 2: Convert to fraction form
    1,064.33/1,596.47 = 333.91/x
  3. Step 3: Cross multiply
    1,064.33x = 1,596.47 × 333.91
  4. Step 4: Simplify right side
    1,064.33x = 533,074.14
  5. Step 5: Solve for x
    x = 533,074.14/1,064.33
  6. Step 6: Final answer
    x = 500.86

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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.