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Finding the Fourth Proportional to 786.78, 1,084.86 and 589.92

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Solution

The fourth proportional to 786.78, 1,084.86 and 589.92 is: 813.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.78 : 1,084.86 = 589.92 : x
  2. Step 2: Convert to fraction form
    786.78/1,084.86 = 589.92/x
  3. Step 3: Cross multiply
    786.78x = 1,084.86 × 589.92
  4. Step 4: Simplify right side
    786.78x = 639,980.61
  5. Step 5: Solve for x
    x = 639,980.61/786.78
  6. Step 6: Final answer
    x = 813.42

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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.