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Finding the Fourth Proportional to 825.50, 1,137.92 and 510.19

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Solution

The fourth proportional to 825.50, 1,137.92 and 510.19 is: 703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.50 : 1,137.92 = 510.19 : x
  2. Step 2: Convert to fraction form
    825.50/1,137.92 = 510.19/x
  3. Step 3: Cross multiply
    825.50x = 1,137.92 × 510.19
  4. Step 4: Simplify right side
    825.50x = 580,550.01
  5. Step 5: Solve for x
    x = 580,550.01/825.50
  6. Step 6: Final answer
    x = 703.27

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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.