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Finding the Fourth Proportional to 783.36, 1,175.72 and 372.60

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Solution

The fourth proportional to 783.36, 1,175.72 and 372.60 is: 559.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.36 : 1,175.72 = 372.60 : x
  2. Step 2: Convert to fraction form
    783.36/1,175.72 = 372.60/x
  3. Step 3: Cross multiply
    783.36x = 1,175.72 × 372.60
  4. Step 4: Simplify right side
    783.36x = 438,071.41
  5. Step 5: Solve for x
    x = 438,071.41/783.36
  6. Step 6: Final answer
    x = 559.22

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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.