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Finding the Fourth Proportional to 513.51, 707.42 and 424.41

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Solution

The fourth proportional to 513.51, 707.42 and 424.41 is: 584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.51 : 707.42 = 424.41 : x
  2. Step 2: Convert to fraction form
    513.51/707.42 = 424.41/x
  3. Step 3: Cross multiply
    513.51x = 707.42 × 424.41
  4. Step 4: Simplify right side
    513.51x = 300,234.00
  5. Step 5: Solve for x
    x = 300,234.00/513.51
  6. Step 6: Final answer
    x = 584.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.