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Finding the Fourth Proportional to 862.35, 1,190.02 and 513.15

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Solution

The fourth proportional to 862.35, 1,190.02 and 513.15 is: 708.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.35 : 1,190.02 = 513.15 : x
  2. Step 2: Convert to fraction form
    862.35/1,190.02 = 513.15/x
  3. Step 3: Cross multiply
    862.35x = 1,190.02 × 513.15
  4. Step 4: Simplify right side
    862.35x = 610,658.76
  5. Step 5: Solve for x
    x = 610,658.76/862.35
  6. Step 6: Final answer
    x = 708.13

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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.