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Finding the Fourth Proportional to 1,062.92, 1,467.06 and 620.84

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Solution

The fourth proportional to 1,062.92, 1,467.06 and 620.84 is: 856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,062.92 : 1,467.06 = 620.84 : x
  2. Step 2: Convert to fraction form
    1,062.92/1,467.06 = 620.84/x
  3. Step 3: Cross multiply
    1,062.92x = 1,467.06 × 620.84
  4. Step 4: Simplify right side
    1,062.92x = 910,809.53
  5. Step 5: Solve for x
    x = 910,809.53/1,062.92
  6. Step 6: Final answer
    x = 856.89

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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.