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Finding the Fourth Proportional to 513.54, 703.01 and 511.83

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Solution

The fourth proportional to 513.54, 703.01 and 511.83 is: 700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.54 : 703.01 = 511.83 : x
  2. Step 2: Convert to fraction form
    513.54/703.01 = 511.83/x
  3. Step 3: Cross multiply
    513.54x = 703.01 × 511.83
  4. Step 4: Simplify right side
    513.54x = 359,822.89
  5. Step 5: Solve for x
    x = 359,822.89/513.54
  6. Step 6: Final answer
    x = 700.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.