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Finding the Fourth Proportional to 438.19, 653.88 and 379.87

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Solution

The fourth proportional to 438.19, 653.88 and 379.87 is: 566.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.19 : 653.88 = 379.87 : x
  2. Step 2: Convert to fraction form
    438.19/653.88 = 379.87/x
  3. Step 3: Cross multiply
    438.19x = 653.88 × 379.87
  4. Step 4: Simplify right side
    438.19x = 248,389.19
  5. Step 5: Solve for x
    x = 248,389.19/438.19
  6. Step 6: Final answer
    x = 566.86

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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.