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Finding the Fourth Proportional to 470.31, 705.81 and 384.66

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Solution

The fourth proportional to 470.31, 705.81 and 384.66 is: 577.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.31 : 705.81 = 384.66 : x
  2. Step 2: Convert to fraction form
    470.31/705.81 = 384.66/x
  3. Step 3: Cross multiply
    470.31x = 705.81 × 384.66
  4. Step 4: Simplify right side
    470.31x = 271,496.87
  5. Step 5: Solve for x
    x = 271,496.87/470.31
  6. Step 6: Final answer
    x = 577.27

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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.