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Finding the Fourth Proportional to 715.86, 1,074.09 and 305.08

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Solution

The fourth proportional to 715.86, 1,074.09 and 305.08 is: 457.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.86 : 1,074.09 = 305.08 : x
  2. Step 2: Convert to fraction form
    715.86/1,074.09 = 305.08/x
  3. Step 3: Cross multiply
    715.86x = 1,074.09 × 305.08
  4. Step 4: Simplify right side
    715.86x = 327,683.38
  5. Step 5: Solve for x
    x = 327,683.38/715.86
  6. Step 6: Final answer
    x = 457.75

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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.