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Finding the Fourth Proportional to 1,317.50, 1,972.74 and 853.94

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Solution

The fourth proportional to 1,317.50, 1,972.74 and 853.94 is: 1,278.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.50 : 1,972.74 = 853.94 : x
  2. Step 2: Convert to fraction form
    1,317.50/1,972.74 = 853.94/x
  3. Step 3: Cross multiply
    1,317.50x = 1,972.74 × 853.94
  4. Step 4: Simplify right side
    1,317.50x = 1,684,601.60
  5. Step 5: Solve for x
    x = 1,684,601.60/1,317.50
  6. Step 6: Final answer
    x = 1,278.63

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1.5x scale

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.