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Finding the Fourth Proportional to 505.02, 696.74 and 330.46

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Solution

The fourth proportional to 505.02, 696.74 and 330.46 is: 455.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.02 : 696.74 = 330.46 : x
  2. Step 2: Convert to fraction form
    505.02/696.74 = 330.46/x
  3. Step 3: Cross multiply
    505.02x = 696.74 × 330.46
  4. Step 4: Simplify right side
    505.02x = 230,244.70
  5. Step 5: Solve for x
    x = 230,244.70/505.02
  6. Step 6: Final answer
    x = 455.91

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