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Finding the Fourth Proportional to 537.50, 741.76 and 304.64

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Solution

The fourth proportional to 537.50, 741.76 and 304.64 is: 420.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.50 : 741.76 = 304.64 : x
  2. Step 2: Convert to fraction form
    537.50/741.76 = 304.64/x
  3. Step 3: Cross multiply
    537.50x = 741.76 × 304.64
  4. Step 4: Simplify right side
    537.50x = 225,969.77
  5. Step 5: Solve for x
    x = 225,969.77/537.50
  6. Step 6: Final answer
    x = 420.41

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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.