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Finding the Fourth Proportional to 856.94, 1,278.70 and 746.24

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Solution

The fourth proportional to 856.94, 1,278.70 and 746.24 is: 1,113.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.94 : 1,278.70 = 746.24 : x
  2. Step 2: Convert to fraction form
    856.94/1,278.70 = 746.24/x
  3. Step 3: Cross multiply
    856.94x = 1,278.70 × 746.24
  4. Step 4: Simplify right side
    856.94x = 954,208.83
  5. Step 5: Solve for x
    x = 954,208.83/856.94
  6. Step 6: Final answer
    x = 1,113.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.