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Finding the Fourth Proportional to 786.49, 1,084.92 and 491.65

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Solution

The fourth proportional to 786.49, 1,084.92 and 491.65 is: 678.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.49 : 1,084.92 = 491.65 : x
  2. Step 2: Convert to fraction form
    786.49/1,084.92 = 491.65/x
  3. Step 3: Cross multiply
    786.49x = 1,084.92 × 491.65
  4. Step 4: Simplify right side
    786.49x = 533,400.92
  5. Step 5: Solve for x
    x = 533,400.92/786.49
  6. Step 6: Final answer
    x = 678.20

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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.