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Finding the Fourth Proportional to 471.69, 705.86 and 348.00

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Solution

The fourth proportional to 471.69, 705.86 and 348.00 is: 520.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.69 : 705.86 = 348.00 : x
  2. Step 2: Convert to fraction form
    471.69/705.86 = 348.00/x
  3. Step 3: Cross multiply
    471.69x = 705.86 × 348.00
  4. Step 4: Simplify right side
    471.69x = 245,636.20
  5. Step 5: Solve for x
    x = 245,636.20/471.69
  6. Step 6: Final answer
    x = 520.76

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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.