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Finding the Fourth Proportional to 438.42, 604.77 and 377.06

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Solution

The fourth proportional to 438.42, 604.77 and 377.06 is: 520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    438.42 : 604.77 = 377.06 : x
  2. Step 2: Convert to fraction form
    438.42/604.77 = 377.06/x
  3. Step 3: Cross multiply
    438.42x = 604.77 × 377.06
  4. Step 4: Simplify right side
    438.42x = 228,031.55
  5. Step 5: Solve for x
    x = 228,031.55/438.42
  6. Step 6: Final answer
    x = 520.12

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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.