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Finding the Fourth Proportional to 471.06, 705.67 and 265.01

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Solution

The fourth proportional to 471.06, 705.67 and 265.01 is: 396.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.06 : 705.67 = 265.01 : x
  2. Step 2: Convert to fraction form
    471.06/705.67 = 265.01/x
  3. Step 3: Cross multiply
    471.06x = 705.67 × 265.01
  4. Step 4: Simplify right side
    471.06x = 187,005.42
  5. Step 5: Solve for x
    x = 187,005.42/471.06
  6. Step 6: Final answer
    x = 396.99

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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.