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Finding the Fourth Proportional to 540.11, 745.68 and 428.53

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Solution

The fourth proportional to 540.11, 745.68 and 428.53 is: 591.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.11 : 745.68 = 428.53 : x
  2. Step 2: Convert to fraction form
    540.11/745.68 = 428.53/x
  3. Step 3: Cross multiply
    540.11x = 745.68 × 428.53
  4. Step 4: Simplify right side
    540.11x = 319,545.99
  5. Step 5: Solve for x
    x = 319,545.99/540.11
  6. Step 6: Final answer
    x = 591.64

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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.