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Finding the Fourth Proportional to 716.15, 1,074.63 and 305.24

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Solution

The fourth proportional to 716.15, 1,074.63 and 305.24 is: 458.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.15 : 1,074.63 = 305.24 : x
  2. Step 2: Convert to fraction form
    716.15/1,074.63 = 305.24/x
  3. Step 3: Cross multiply
    716.15x = 1,074.63 × 305.24
  4. Step 4: Simplify right side
    716.15x = 328,014.69
  5. Step 5: Solve for x
    x = 328,014.69/716.15
  6. Step 6: Final answer
    x = 458.03

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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.