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Finding the Fourth Proportional to 999.60, 1,502.15 and 513

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Solution

The fourth proportional to 999.60, 1,502.15 and 513 is: 770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.60 : 1,502.15 = 513 : x
  2. Step 2: Convert to fraction form
    999.60/1,502.15 = 513/x
  3. Step 3: Cross multiply
    999.60x = 1,502.15 × 513
  4. Step 4: Simplify right side
    999.60x = 770,600.39
  5. Step 5: Solve for x
    x = 770,600.39/999.60
  6. Step 6: Final answer
    x = 770.91

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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.