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Finding the Fourth Proportional to 513.60, 711.87 and 465

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Solution

The fourth proportional to 513.60, 711.87 and 465 is: 644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.60 : 711.87 = 465 : x
  2. Step 2: Convert to fraction form
    513.60/711.87 = 465/x
  3. Step 3: Cross multiply
    513.60x = 711.87 × 465
  4. Step 4: Simplify right side
    513.60x = 331,019.55
  5. Step 5: Solve for x
    x = 331,019.55/513.60
  6. Step 6: Final answer
    x = 644.51

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.