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Finding the Fourth Proportional to 783.05, 1,172.15 and 586.97

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Solution

The fourth proportional to 783.05, 1,172.15 and 586.97 is: 878.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.05 : 1,172.15 = 586.97 : x
  2. Step 2: Convert to fraction form
    783.05/1,172.15 = 586.97/x
  3. Step 3: Cross multiply
    783.05x = 1,172.15 × 586.97
  4. Step 4: Simplify right side
    783.05x = 688,008.09
  5. Step 5: Solve for x
    x = 688,008.09/783.05
  6. Step 6: Final answer
    x = 878.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.