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Finding the Fourth Proportional to 475.34, 713.21 and 435.24

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Solution

The fourth proportional to 475.34, 713.21 and 435.24 is: 653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    475.34 : 713.21 = 435.24 : x
  2. Step 2: Convert to fraction form
    475.34/713.21 = 435.24/x
  3. Step 3: Cross multiply
    475.34x = 713.21 × 435.24
  4. Step 4: Simplify right side
    475.34x = 310,415.34
  5. Step 5: Solve for x
    x = 310,415.34/475.34
  6. Step 6: Final answer
    x = 653.05

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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.