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Finding the Fourth Proportional to 540.63, 746.13 and 304.65

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Solution

The fourth proportional to 540.63, 746.13 and 304.65 is: 420.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.63 : 746.13 = 304.65 : x
  2. Step 2: Convert to fraction form
    540.63/746.13 = 304.65/x
  3. Step 3: Cross multiply
    540.63x = 746.13 × 304.65
  4. Step 4: Simplify right side
    540.63x = 227,308.50
  5. Step 5: Solve for x
    x = 227,308.50/540.63
  6. Step 6: Final answer
    x = 420.45

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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.