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Finding the Fourth Proportional to 785.65, 1,083.93 and 609.32

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Solution

The fourth proportional to 785.65, 1,083.93 and 609.32 is: 840.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.65 : 1,083.93 = 609.32 : x
  2. Step 2: Convert to fraction form
    785.65/1,083.93 = 609.32/x
  3. Step 3: Cross multiply
    785.65x = 1,083.93 × 609.32
  4. Step 4: Simplify right side
    785.65x = 660,464.08
  5. Step 5: Solve for x
    x = 660,464.08/785.65
  6. Step 6: Final answer
    x = 840.66

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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.