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Finding the Fourth Proportional to 946.56, 1,305.99 and 610.32

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Solution

The fourth proportional to 946.56, 1,305.99 and 610.32 is: 842.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    946.56 : 1,305.99 = 610.32 : x
  2. Step 2: Convert to fraction form
    946.56/1,305.99 = 610.32/x
  3. Step 3: Cross multiply
    946.56x = 1,305.99 × 610.32
  4. Step 4: Simplify right side
    946.56x = 797,071.82
  5. Step 5: Solve for x
    x = 797,071.82/946.56
  6. Step 6: Final answer
    x = 842.07

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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.