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Finding the Fourth Proportional to 1,025.43, 1,415.41 and 693.85

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Solution

The fourth proportional to 1,025.43, 1,415.41 and 693.85 is: 957.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.43 : 1,415.41 = 693.85 : x
  2. Step 2: Convert to fraction form
    1,025.43/1,415.41 = 693.85/x
  3. Step 3: Cross multiply
    1,025.43x = 1,415.41 × 693.85
  4. Step 4: Simplify right side
    1,025.43x = 982,075.22
  5. Step 5: Solve for x
    x = 982,075.22/1,025.43
  6. Step 6: Final answer
    x = 957.72

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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.