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Finding the Fourth Proportional to 540.02, 744.08 and 435.22

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Solution

The fourth proportional to 540.02, 744.08 and 435.22 is: 599.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.02 : 744.08 = 435.22 : x
  2. Step 2: Convert to fraction form
    540.02/744.08 = 435.22/x
  3. Step 3: Cross multiply
    540.02x = 744.08 × 435.22
  4. Step 4: Simplify right side
    540.02x = 323,837.41
  5. Step 5: Solve for x
    x = 323,837.41/540.02
  6. Step 6: Final answer
    x = 599.68

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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.