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Finding the Fourth Proportional to 783.05, 1,172.75 and 562.30

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Solution

The fourth proportional to 783.05, 1,172.75 and 562.30 is: 842.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.05 : 1,172.75 = 562.30 : x
  2. Step 2: Convert to fraction form
    783.05/1,172.75 = 562.30/x
  3. Step 3: Cross multiply
    783.05x = 1,172.75 × 562.30
  4. Step 4: Simplify right side
    783.05x = 659,435.80
  5. Step 5: Solve for x
    x = 659,435.80/783.05
  6. Step 6: Final answer
    x = 842.14

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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.