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Finding the Fourth Proportional to 397.84, 592.65 and 385.74

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Solution

The fourth proportional to 397.84, 592.65 and 385.74 is: 574.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    397.84 : 592.65 = 385.74 : x
  2. Step 2: Convert to fraction form
    397.84/592.65 = 385.74/x
  3. Step 3: Cross multiply
    397.84x = 592.65 × 385.74
  4. Step 4: Simplify right side
    397.84x = 228,611.03
  5. Step 5: Solve for x
    x = 228,611.03/397.84
  6. Step 6: Final answer
    x = 574.64

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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.