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Finding the Fourth Proportional to 951.36, 1,312.52 and 578.09

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Solution

The fourth proportional to 951.36, 1,312.52 and 578.09 is: 797.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.36 : 1,312.52 = 578.09 : x
  2. Step 2: Convert to fraction form
    951.36/1,312.52 = 578.09/x
  3. Step 3: Cross multiply
    951.36x = 1,312.52 × 578.09
  4. Step 4: Simplify right side
    951.36x = 758,745.23
  5. Step 5: Solve for x
    x = 758,745.23/951.36
  6. Step 6: Final answer
    x = 797.54

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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.