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Finding the Fourth Proportional to 505.45, 695.76 and 435.74

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Solution

The fourth proportional to 505.45, 695.76 and 435.74 is: 599.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.45 : 695.76 = 435.74 : x
  2. Step 2: Convert to fraction form
    505.45/695.76 = 435.74/x
  3. Step 3: Cross multiply
    505.45x = 695.76 × 435.74
  4. Step 4: Simplify right side
    505.45x = 303,170.98
  5. Step 5: Solve for x
    x = 303,170.98/505.45
  6. Step 6: Final answer
    x = 599.81

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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.