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Finding the Fourth Proportional to 783.44, 1,175.56 and 568.79

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Solution

The fourth proportional to 783.44, 1,175.56 and 568.79 is: 853.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.44 : 1,175.56 = 568.79 : x
  2. Step 2: Convert to fraction form
    783.44/1,175.56 = 568.79/x
  3. Step 3: Cross multiply
    783.44x = 1,175.56 × 568.79
  4. Step 4: Simplify right side
    783.44x = 668,646.77
  5. Step 5: Solve for x
    x = 668,646.77/783.44
  6. Step 6: Final answer
    x = 853.48

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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.