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Finding the Fourth Proportional to 856.02, 1,284.27 and 393.57

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Solution

The fourth proportional to 856.02, 1,284.27 and 393.57 is: 590.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.02 : 1,284.27 = 393.57 : x
  2. Step 2: Convert to fraction form
    856.02/1,284.27 = 393.57/x
  3. Step 3: Cross multiply
    856.02x = 1,284.27 × 393.57
  4. Step 4: Simplify right side
    856.02x = 505,450.14
  5. Step 5: Solve for x
    x = 505,450.14/856.02
  6. Step 6: Final answer
    x = 590.47

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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.