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Finding the Fourth Proportional to 540.91, 744.98 and 467.20

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Solution

The fourth proportional to 540.91, 744.98 and 467.20 is: 643.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.91 : 744.98 = 467.20 : x
  2. Step 2: Convert to fraction form
    540.91/744.98 = 467.20/x
  3. Step 3: Cross multiply
    540.91x = 744.98 × 467.20
  4. Step 4: Simplify right side
    540.91x = 348,054.66
  5. Step 5: Solve for x
    x = 348,054.66/540.91
  6. Step 6: Final answer
    x = 643.46

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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.