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Finding the Fourth Proportional to 1,442.61, 1,991.13 and 853.24

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Solution

The fourth proportional to 1,442.61, 1,991.13 and 853.24 is: 1,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442.61 : 1,991.13 = 853.24 : x
  2. Step 2: Convert to fraction form
    1,442.61/1,991.13 = 853.24/x
  3. Step 3: Cross multiply
    1,442.61x = 1,991.13 × 853.24
  4. Step 4: Simplify right side
    1,442.61x = 1,698,911.76
  5. Step 5: Solve for x
    x = 1,698,911.76/1,442.61
  6. Step 6: Final answer
    x = 1,177.67

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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.