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Finding the Fourth Proportional to 601.09, 828.38 and 435.02

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Solution

The fourth proportional to 601.09, 828.38 and 435.02 is: 599.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.09 : 828.38 = 435.02 : x
  2. Step 2: Convert to fraction form
    601.09/828.38 = 435.02/x
  3. Step 3: Cross multiply
    601.09x = 828.38 × 435.02
  4. Step 4: Simplify right side
    601.09x = 360,361.87
  5. Step 5: Solve for x
    x = 360,361.87/601.09
  6. Step 6: Final answer
    x = 599.51

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1.5x scale

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.