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Finding the Fourth Proportional to 783.96, 1,181.17 and 709.93

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Solution

The fourth proportional to 783.96, 1,181.17 and 709.93 is: 1,069.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.96 : 1,181.17 = 709.93 : x
  2. Step 2: Convert to fraction form
    783.96/1,181.17 = 709.93/x
  3. Step 3: Cross multiply
    783.96x = 1,181.17 × 709.93
  4. Step 4: Simplify right side
    783.96x = 838,548.02
  5. Step 5: Solve for x
    x = 838,548.02/783.96
  6. Step 6: Final answer
    x = 1,069.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.