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Finding the Fourth Proportional to 856.20, 1,183.50 and 788.16

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Solution

The fourth proportional to 856.20, 1,183.50 and 788.16 is: 1,089.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.20 : 1,183.50 = 788.16 : x
  2. Step 2: Convert to fraction form
    856.20/1,183.50 = 788.16/x
  3. Step 3: Cross multiply
    856.20x = 1,183.50 × 788.16
  4. Step 4: Simplify right side
    856.20x = 932,787.36
  5. Step 5: Solve for x
    x = 932,787.36/856.20
  6. Step 6: Final answer
    x = 1,089.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.