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Finding the Fourth Proportional to 876.94, 1,308.22 and 853.10

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Solution

The fourth proportional to 876.94, 1,308.22 and 853.10 is: 1,272.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    876.94 : 1,308.22 = 853.10 : x
  2. Step 2: Convert to fraction form
    876.94/1,308.22 = 853.10/x
  3. Step 3: Cross multiply
    876.94x = 1,308.22 × 853.10
  4. Step 4: Simplify right side
    876.94x = 1,116,033.81
  5. Step 5: Solve for x
    x = 1,116,033.81/876.94
  6. Step 6: Final answer
    x = 1,272.65

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.