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Finding the Fourth Proportional to 798, 1,196.53 and 310.48

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Solution

The fourth proportional to 798, 1,196.53 and 310.48 is: 465.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    798 : 1,196.53 = 310.48 : x
  2. Step 2: Convert to fraction form
    798/1,196.53 = 310.48/x
  3. Step 3: Cross multiply
    798x = 1,196.53 × 310.48
  4. Step 4: Simplify right side
    798x = 371,498.63
  5. Step 5: Solve for x
    x = 371,498.63/798
  6. Step 6: Final answer
    x = 465.54

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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.