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Finding the Fourth Proportional to 788.15, 1,086.69 and 492.91

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Solution

The fourth proportional to 788.15, 1,086.69 and 492.91 is: 679.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.15 : 1,086.69 = 492.91 : x
  2. Step 2: Convert to fraction form
    788.15/1,086.69 = 492.91/x
  3. Step 3: Cross multiply
    788.15x = 1,086.69 × 492.91
  4. Step 4: Simplify right side
    788.15x = 535,637.32
  5. Step 5: Solve for x
    x = 535,637.32/788.15
  6. Step 6: Final answer
    x = 679.61

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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.