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Finding the Fourth Proportional to 540.06, 745.05 and 429.09

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Solution

The fourth proportional to 540.06, 745.05 and 429.09 is: 591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.06 : 745.05 = 429.09 : x
  2. Step 2: Convert to fraction form
    540.06/745.05 = 429.09/x
  3. Step 3: Cross multiply
    540.06x = 745.05 × 429.09
  4. Step 4: Simplify right side
    540.06x = 319,693.50
  5. Step 5: Solve for x
    x = 319,693.50/540.06
  6. Step 6: Final answer
    x = 591.96

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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.