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Finding the Fourth Proportional to 540.09, 808.91 and 442.89

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Solution

The fourth proportional to 540.09, 808.91 and 442.89 is: 663.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.09 : 808.91 = 442.89 : x
  2. Step 2: Convert to fraction form
    540.09/808.91 = 442.89/x
  3. Step 3: Cross multiply
    540.09x = 808.91 × 442.89
  4. Step 4: Simplify right side
    540.09x = 358,255.94
  5. Step 5: Solve for x
    x = 358,255.94/540.09
  6. Step 6: Final answer
    x = 663.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.