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Finding the Fourth Proportional to 783.25, 1,173.33 and 588.47

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Solution

The fourth proportional to 783.25, 1,173.33 and 588.47 is: 881.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.25 : 1,173.33 = 588.47 : x
  2. Step 2: Convert to fraction form
    783.25/1,173.33 = 588.47/x
  3. Step 3: Cross multiply
    783.25x = 1,173.33 × 588.47
  4. Step 4: Simplify right side
    783.25x = 690,463.64
  5. Step 5: Solve for x
    x = 690,463.64/783.25
  6. Step 6: Final answer
    x = 881.54

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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.