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Finding the Fourth Proportional to 513.44, 766.56 and 431.43

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Solution

The fourth proportional to 513.44, 766.56 and 431.43 is: 644.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.44 : 766.56 = 431.43 : x
  2. Step 2: Convert to fraction form
    513.44/766.56 = 431.43/x
  3. Step 3: Cross multiply
    513.44x = 766.56 × 431.43
  4. Step 4: Simplify right side
    513.44x = 330,715.72
  5. Step 5: Solve for x
    x = 330,715.72/513.44
  6. Step 6: Final answer
    x = 644.12

Related Problems

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.