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Finding the Fourth Proportional to 619.38, 923.67 and 549.45

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Solution

The fourth proportional to 619.38, 923.67 and 549.45 is: 819.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.38 : 923.67 = 549.45 : x
  2. Step 2: Convert to fraction form
    619.38/923.67 = 549.45/x
  3. Step 3: Cross multiply
    619.38x = 923.67 × 549.45
  4. Step 4: Simplify right side
    619.38x = 507,510.48
  5. Step 5: Solve for x
    x = 507,510.48/619.38
  6. Step 6: Final answer
    x = 819.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.