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Finding the Fourth Proportional to 438.94, 655.01 and 380.62

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Solution

The fourth proportional to 438.94, 655.01 and 380.62 is: 567.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.94 : 655.01 = 380.62 : x
  2. Step 2: Convert to fraction form
    438.94/655.01 = 380.62/x
  3. Step 3: Cross multiply
    438.94x = 655.01 × 380.62
  4. Step 4: Simplify right side
    438.94x = 249,306.37
  5. Step 5: Solve for x
    x = 249,306.37/438.94
  6. Step 6: Final answer
    x = 567.98

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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.