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Finding the Fourth Proportional to 862.57, 1,190.36 and 513.19

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Solution

The fourth proportional to 862.57, 1,190.36 and 513.19 is: 708.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.57 : 1,190.36 = 513.19 : x
  2. Step 2: Convert to fraction form
    862.57/1,190.36 = 513.19/x
  3. Step 3: Cross multiply
    862.57x = 1,190.36 × 513.19
  4. Step 4: Simplify right side
    862.57x = 610,875.31
  5. Step 5: Solve for x
    x = 610,875.31/862.57
  6. Step 6: Final answer
    x = 708.21

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1.5x scale

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.