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Finding the Fourth Proportional to 786.65, 1,086.08 and 491.94

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Solution

The fourth proportional to 786.65, 1,086.08 and 491.94 is: 679.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.65 : 1,086.08 = 491.94 : x
  2. Step 2: Convert to fraction form
    786.65/1,086.08 = 491.94/x
  3. Step 3: Cross multiply
    786.65x = 1,086.08 × 491.94
  4. Step 4: Simplify right side
    786.65x = 534,283.74
  5. Step 5: Solve for x
    x = 534,283.74/786.65
  6. Step 6: Final answer
    x = 679.19

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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.