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Finding the Fourth Proportional to 846.14, 1,167.12 and 680.09

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Solution

The fourth proportional to 846.14, 1,167.12 and 680.09 is: 938.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.14 : 1,167.12 = 680.09 : x
  2. Step 2: Convert to fraction form
    846.14/1,167.12 = 680.09/x
  3. Step 3: Cross multiply
    846.14x = 1,167.12 × 680.09
  4. Step 4: Simplify right side
    846.14x = 793,740.81
  5. Step 5: Solve for x
    x = 793,740.81/846.14
  6. Step 6: Final answer
    x = 938.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.