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Finding the Fourth Proportional to 512.94, 704.04 and 485.60

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Solution

The fourth proportional to 512.94, 704.04 and 485.60 is: 666.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.94 : 704.04 = 485.60 : x
  2. Step 2: Convert to fraction form
    512.94/704.04 = 485.60/x
  3. Step 3: Cross multiply
    512.94x = 704.04 × 485.60
  4. Step 4: Simplify right side
    512.94x = 341,881.82
  5. Step 5: Solve for x
    x = 341,881.82/512.94
  6. Step 6: Final answer
    x = 666.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.