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Finding the Fourth Proportional to 538.28, 741.08 and 420.12

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Solution

The fourth proportional to 538.28, 741.08 and 420.12 is: 578.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.28 : 741.08 = 420.12 : x
  2. Step 2: Convert to fraction form
    538.28/741.08 = 420.12/x
  3. Step 3: Cross multiply
    538.28x = 741.08 × 420.12
  4. Step 4: Simplify right side
    538.28x = 311,342.53
  5. Step 5: Solve for x
    x = 311,342.53/538.28
  6. Step 6: Final answer
    x = 578.40

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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.