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Finding the Fourth Proportional to 549.34, 758.88 and 438.67

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Solution

The fourth proportional to 549.34, 758.88 and 438.67 is: 606.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.34 : 758.88 = 438.67 : x
  2. Step 2: Convert to fraction form
    549.34/758.88 = 438.67/x
  3. Step 3: Cross multiply
    549.34x = 758.88 × 438.67
  4. Step 4: Simplify right side
    549.34x = 332,897.89
  5. Step 5: Solve for x
    x = 332,897.89/549.34
  6. Step 6: Final answer
    x = 606.00

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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.