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Finding the Fourth Proportional to 567.84, 853.44 and 376.80

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Solution

The fourth proportional to 567.84, 853.44 and 376.80 is: 566.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.84 : 853.44 = 376.80 : x
  2. Step 2: Convert to fraction form
    567.84/853.44 = 376.80/x
  3. Step 3: Cross multiply
    567.84x = 853.44 × 376.80
  4. Step 4: Simplify right side
    567.84x = 321,576.19
  5. Step 5: Solve for x
    x = 321,576.19/567.84
  6. Step 6: Final answer
    x = 566.31

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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.