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Finding the Fourth Proportional to 798.95, 1,197.47 and 336.56

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Solution

The fourth proportional to 798.95, 1,197.47 and 336.56 is: 504.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.95 : 1,197.47 = 336.56 : x
  2. Step 2: Convert to fraction form
    798.95/1,197.47 = 336.56/x
  3. Step 3: Cross multiply
    798.95x = 1,197.47 × 336.56
  4. Step 4: Simplify right side
    798.95x = 403,024.34
  5. Step 5: Solve for x
    x = 403,024.34/798.95
  6. Step 6: Final answer
    x = 504.45

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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.