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Finding the Fourth Proportional to 783.49, 1,168.31 and 776.45

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Solution

The fourth proportional to 783.49, 1,168.31 and 776.45 is: 1,157.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.49 : 1,168.31 = 776.45 : x
  2. Step 2: Convert to fraction form
    783.49/1,168.31 = 776.45/x
  3. Step 3: Cross multiply
    783.49x = 1,168.31 × 776.45
  4. Step 4: Simplify right side
    783.49x = 907,141.35
  5. Step 5: Solve for x
    x = 907,141.35/783.49
  6. Step 6: Final answer
    x = 1,157.83

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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.