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Finding the Fourth Proportional to 1,064.08, 1,596.20 and 333.68

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Solution

The fourth proportional to 1,064.08, 1,596.20 and 333.68 is: 500.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,064.08 : 1,596.20 = 333.68 : x
  2. Step 2: Convert to fraction form
    1,064.08/1,596.20 = 333.68/x
  3. Step 3: Cross multiply
    1,064.08x = 1,596.20 × 333.68
  4. Step 4: Simplify right side
    1,064.08x = 532,620.02
  5. Step 5: Solve for x
    x = 532,620.02/1,064.08
  6. Step 6: Final answer
    x = 500.55

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1.5x scale

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.