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Finding the Fourth Proportional to 873.94, 1,308.85 and 690.11

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Solution

The fourth proportional to 873.94, 1,308.85 and 690.11 is: 1,033.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    873.94 : 1,308.85 = 690.11 : x
  2. Step 2: Convert to fraction form
    873.94/1,308.85 = 690.11/x
  3. Step 3: Cross multiply
    873.94x = 1,308.85 × 690.11
  4. Step 4: Simplify right side
    873.94x = 903,250.47
  5. Step 5: Solve for x
    x = 903,250.47/873.94
  6. Step 6: Final answer
    x = 1,033.54

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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.