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Finding the Fourth Proportional to 783.36, 1,077.83 and 678.11

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Solution

The fourth proportional to 783.36, 1,077.83 and 678.11 is: 933.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.36 : 1,077.83 = 678.11 : x
  2. Step 2: Convert to fraction form
    783.36/1,077.83 = 678.11/x
  3. Step 3: Cross multiply
    783.36x = 1,077.83 × 678.11
  4. Step 4: Simplify right side
    783.36x = 730,887.30
  5. Step 5: Solve for x
    x = 730,887.30/783.36
  6. Step 6: Final answer
    x = 933.02

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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.