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Finding the Fourth Proportional to 505.44, 696.76 and 435.20

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Solution

The fourth proportional to 505.44, 696.76 and 435.20 is: 599.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.44 : 696.76 = 435.20 : x
  2. Step 2: Convert to fraction form
    505.44/696.76 = 435.20/x
  3. Step 3: Cross multiply
    505.44x = 696.76 × 435.20
  4. Step 4: Simplify right side
    505.44x = 303,229.95
  5. Step 5: Solve for x
    x = 303,229.95/505.44
  6. Step 6: Final answer
    x = 599.93

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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.