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Finding the Fourth Proportional to 1,317.37, 1,973.14 and 853.75

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Solution

The fourth proportional to 1,317.37, 1,973.14 and 853.75 is: 1,278.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.37 : 1,973.14 = 853.75 : x
  2. Step 2: Convert to fraction form
    1,317.37/1,973.14 = 853.75/x
  3. Step 3: Cross multiply
    1,317.37x = 1,973.14 × 853.75
  4. Step 4: Simplify right side
    1,317.37x = 1,684,562.31
  5. Step 5: Solve for x
    x = 1,684,562.31/1,317.37
  6. Step 6: Final answer
    x = 1,278.73

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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.