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Finding the Fourth Proportional to 856.64, 1,183.20 and 745.76

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Solution

The fourth proportional to 856.64, 1,183.20 and 745.76 is: 1,030.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.64 : 1,183.20 = 745.76 : x
  2. Step 2: Convert to fraction form
    856.64/1,183.20 = 745.76/x
  3. Step 3: Cross multiply
    856.64x = 1,183.20 × 745.76
  4. Step 4: Simplify right side
    856.64x = 882,383.23
  5. Step 5: Solve for x
    x = 882,383.23/856.64
  6. Step 6: Final answer
    x = 1,030.05

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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.