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Finding the Fourth Proportional to 783.76, 1,083.02 and 745.79

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Solution

The fourth proportional to 783.76, 1,083.02 and 745.79 is: 1,030.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.76 : 1,083.02 = 745.79 : x
  2. Step 2: Convert to fraction form
    783.76/1,083.02 = 745.79/x
  3. Step 3: Cross multiply
    783.76x = 1,083.02 × 745.79
  4. Step 4: Simplify right side
    783.76x = 807,705.49
  5. Step 5: Solve for x
    x = 807,705.49/783.76
  6. Step 6: Final answer
    x = 1,030.55

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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.