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Finding the Fourth Proportional to 384.94, 577.41 and 380.35

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Solution

The fourth proportional to 384.94, 577.41 and 380.35 is: 570.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.94 : 577.41 = 380.35 : x
  2. Step 2: Convert to fraction form
    384.94/577.41 = 380.35/x
  3. Step 3: Cross multiply
    384.94x = 577.41 × 380.35
  4. Step 4: Simplify right side
    384.94x = 219,617.89
  5. Step 5: Solve for x
    x = 219,617.89/384.94
  6. Step 6: Final answer
    x = 570.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.