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Finding the Fourth Proportional to 953.75, 1,430.64 and 433.78

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Solution

The fourth proportional to 953.75, 1,430.64 and 433.78 is: 650.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.75 : 1,430.64 = 433.78 : x
  2. Step 2: Convert to fraction form
    953.75/1,430.64 = 433.78/x
  3. Step 3: Cross multiply
    953.75x = 1,430.64 × 433.78
  4. Step 4: Simplify right side
    953.75x = 620,579.44
  5. Step 5: Solve for x
    x = 620,579.44/953.75
  6. Step 6: Final answer
    x = 650.67

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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.