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Finding the Fourth Proportional to 471.28, 707.09 and 433.35

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Solution

The fourth proportional to 471.28, 707.09 and 433.35 is: 650.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.28 : 707.09 = 433.35 : x
  2. Step 2: Convert to fraction form
    471.28/707.09 = 433.35/x
  3. Step 3: Cross multiply
    471.28x = 707.09 × 433.35
  4. Step 4: Simplify right side
    471.28x = 306,420.67
  5. Step 5: Solve for x
    x = 306,420.67/471.28
  6. Step 6: Final answer
    x = 650.19

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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.