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Finding the Fourth Proportional to 783.03, 1,173.72 and 295.68

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Solution

The fourth proportional to 783.03, 1,173.72 and 295.68 is: 443.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.03 : 1,173.72 = 295.68 : x
  2. Step 2: Convert to fraction form
    783.03/1,173.72 = 295.68/x
  3. Step 3: Cross multiply
    783.03x = 1,173.72 × 295.68
  4. Step 4: Simplify right side
    783.03x = 347,045.53
  5. Step 5: Solve for x
    x = 347,045.53/783.03
  6. Step 6: Final answer
    x = 443.21

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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.