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Finding the Fourth Proportional to 715.09, 1,071.12 and 367.36

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Solution

The fourth proportional to 715.09, 1,071.12 and 367.36 is: 550.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.09 : 1,071.12 = 367.36 : x
  2. Step 2: Convert to fraction form
    715.09/1,071.12 = 367.36/x
  3. Step 3: Cross multiply
    715.09x = 1,071.12 × 367.36
  4. Step 4: Simplify right side
    715.09x = 393,486.64
  5. Step 5: Solve for x
    x = 393,486.64/715.09
  6. Step 6: Final answer
    x = 550.26

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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.