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Finding the Fourth Proportional to 832.64, 1,149.16 and 478.64

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Solution

The fourth proportional to 832.64, 1,149.16 and 478.64 is: 660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.64 : 1,149.16 = 478.64 : x
  2. Step 2: Convert to fraction form
    832.64/1,149.16 = 478.64/x
  3. Step 3: Cross multiply
    832.64x = 1,149.16 × 478.64
  4. Step 4: Simplify right side
    832.64x = 550,033.94
  5. Step 5: Solve for x
    x = 550,033.94/832.64
  6. Step 6: Final answer
    x = 660.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.