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Finding the Fourth Proportional to 846.05, 1,266.84 and 715.68

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Solution

The fourth proportional to 846.05, 1,266.84 and 715.68 is: 1,071.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.05 : 1,266.84 = 715.68 : x
  2. Step 2: Convert to fraction form
    846.05/1,266.84 = 715.68/x
  3. Step 3: Cross multiply
    846.05x = 1,266.84 × 715.68
  4. Step 4: Simplify right side
    846.05x = 906,652.05
  5. Step 5: Solve for x
    x = 906,652.05/846.05
  6. Step 6: Final answer
    x = 1,071.64

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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.