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Finding the Fourth Proportional to 786.20, 1,084.64 and 491.66

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Solution

The fourth proportional to 786.20, 1,084.64 and 491.66 is: 678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.20 : 1,084.64 = 491.66 : x
  2. Step 2: Convert to fraction form
    786.20/1,084.64 = 491.66/x
  3. Step 3: Cross multiply
    786.20x = 1,084.64 × 491.66
  4. Step 4: Simplify right side
    786.20x = 533,270.29
  5. Step 5: Solve for x
    x = 533,270.29/786.20
  6. Step 6: Final answer
    x = 678.29

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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.