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Finding the Fourth Proportional to 897.33, 1,235.64 and 853.59

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Solution

The fourth proportional to 897.33, 1,235.64 and 853.59 is: 1,175.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.33 : 1,235.64 = 853.59 : x
  2. Step 2: Convert to fraction form
    897.33/1,235.64 = 853.59/x
  3. Step 3: Cross multiply
    897.33x = 1,235.64 × 853.59
  4. Step 4: Simplify right side
    897.33x = 1,054,729.95
  5. Step 5: Solve for x
    x = 1,054,729.95/897.33
  6. Step 6: Final answer
    x = 1,175.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.