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Finding the Fourth Proportional to 385.70, 574.47 and 383.84

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Solution

The fourth proportional to 385.70, 574.47 and 383.84 is: 571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    385.70 : 574.47 = 383.84 : x
  2. Step 2: Convert to fraction form
    385.70/574.47 = 383.84/x
  3. Step 3: Cross multiply
    385.70x = 574.47 × 383.84
  4. Step 4: Simplify right side
    385.70x = 220,504.56
  5. Step 5: Solve for x
    x = 220,504.56/385.70
  6. Step 6: Final answer
    x = 571.70

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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.