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Finding the Fourth Proportional to 635.46, 953.61 and 430.26

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Solution

The fourth proportional to 635.46, 953.61 and 430.26 is: 645.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.46 : 953.61 = 430.26 : x
  2. Step 2: Convert to fraction form
    635.46/953.61 = 430.26/x
  3. Step 3: Cross multiply
    635.46x = 953.61 × 430.26
  4. Step 4: Simplify right side
    635.46x = 410,300.24
  5. Step 5: Solve for x
    x = 410,300.24/635.46
  6. Step 6: Final answer
    x = 645.67

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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.