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Finding the Fourth Proportional to 1,316.64, 1,975.86 and 853.26

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Solution

The fourth proportional to 1,316.64, 1,975.86 and 853.26 is: 1,280.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,316.64 : 1,975.86 = 853.26 : x
  2. Step 2: Convert to fraction form
    1,316.64/1,975.86 = 853.26/x
  3. Step 3: Cross multiply
    1,316.64x = 1,975.86 × 853.26
  4. Step 4: Simplify right side
    1,316.64x = 1,685,922.30
  5. Step 5: Solve for x
    x = 1,685,922.30/1,316.64
  6. Step 6: Final answer
    x = 1,280.47

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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.