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Finding the Fourth Proportional to 783.93, 1,079.55 and 745.05

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Solution

The fourth proportional to 783.93, 1,079.55 and 745.05 is: 1,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.93 : 1,079.55 = 745.05 : x
  2. Step 2: Convert to fraction form
    783.93/1,079.55 = 745.05/x
  3. Step 3: Cross multiply
    783.93x = 1,079.55 × 745.05
  4. Step 4: Simplify right side
    783.93x = 804,318.73
  5. Step 5: Solve for x
    x = 804,318.73/783.93
  6. Step 6: Final answer
    x = 1,026.01

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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.