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Finding the Fourth Proportional to 549.89, 758.04 and 418.67

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Solution

The fourth proportional to 549.89, 758.04 and 418.67 is: 577.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.89 : 758.04 = 418.67 : x
  2. Step 2: Convert to fraction form
    549.89/758.04 = 418.67/x
  3. Step 3: Cross multiply
    549.89x = 758.04 × 418.67
  4. Step 4: Simplify right side
    549.89x = 317,364.82
  5. Step 5: Solve for x
    x = 317,364.82/549.89
  6. Step 6: Final answer
    x = 577.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.