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Finding the Fourth Proportional to 470.68, 705.66 and 300.04

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Solution

The fourth proportional to 470.68, 705.66 and 300.04 is: 449.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.68 : 705.66 = 300.04 : x
  2. Step 2: Convert to fraction form
    470.68/705.66 = 300.04/x
  3. Step 3: Cross multiply
    470.68x = 705.66 × 300.04
  4. Step 4: Simplify right side
    470.68x = 211,726.23
  5. Step 5: Solve for x
    x = 211,726.23/470.68
  6. Step 6: Final answer
    x = 449.83

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