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Finding the Fourth Proportional to 783.33, 1,173.01 and 470.79

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Solution

The fourth proportional to 783.33, 1,173.01 and 470.79 is: 704.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.33 : 1,173.01 = 470.79 : x
  2. Step 2: Convert to fraction form
    783.33/1,173.01 = 470.79/x
  3. Step 3: Cross multiply
    783.33x = 1,173.01 × 470.79
  4. Step 4: Simplify right side
    783.33x = 552,241.38
  5. Step 5: Solve for x
    x = 552,241.38/783.33
  6. Step 6: Final answer
    x = 704.99

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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.