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Finding the Fourth Proportional to 716.16, 1,074.02 and 305.32

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Solution

The fourth proportional to 716.16, 1,074.02 and 305.32 is: 457.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.16 : 1,074.02 = 305.32 : x
  2. Step 2: Convert to fraction form
    716.16/1,074.02 = 305.32/x
  3. Step 3: Cross multiply
    716.16x = 1,074.02 × 305.32
  4. Step 4: Simplify right side
    716.16x = 327,919.79
  5. Step 5: Solve for x
    x = 327,919.79/716.16
  6. Step 6: Final answer
    x = 457.89

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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.