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Finding the Fourth Proportional to 783.29, 1,173.89 and 412.34

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Solution

The fourth proportional to 783.29, 1,173.89 and 412.34 is: 617.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.29 : 1,173.89 = 412.34 : x
  2. Step 2: Convert to fraction form
    783.29/1,173.89 = 412.34/x
  3. Step 3: Cross multiply
    783.29x = 1,173.89 × 412.34
  4. Step 4: Simplify right side
    783.29x = 484,041.80
  5. Step 5: Solve for x
    x = 484,041.80/783.29
  6. Step 6: Final answer
    x = 617.96

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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.