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Finding the Fourth Proportional to 786.71, 1,172.88 and 776.99

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Solution

The fourth proportional to 786.71, 1,172.88 and 776.99 is: 1,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.71 : 1,172.88 = 776.99 : x
  2. Step 2: Convert to fraction form
    786.71/1,172.88 = 776.99/x
  3. Step 3: Cross multiply
    786.71x = 1,172.88 × 776.99
  4. Step 4: Simplify right side
    786.71x = 911,310.17
  5. Step 5: Solve for x
    x = 911,310.17/786.71
  6. Step 6: Final answer
    x = 1,158.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.