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Finding the Fourth Proportional to 846.14, 1,266.54 and 626.64

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Solution

The fourth proportional to 846.14, 1,266.54 and 626.64 is: 937.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.14 : 1,266.54 = 626.64 : x
  2. Step 2: Convert to fraction form
    846.14/1,266.54 = 626.64/x
  3. Step 3: Cross multiply
    846.14x = 1,266.54 × 626.64
  4. Step 4: Simplify right side
    846.14x = 793,664.63
  5. Step 5: Solve for x
    x = 793,664.63/846.14
  6. Step 6: Final answer
    x = 937.98

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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.