Home / 1,025.82-1,415.70-633.06

Finding the Fourth Proportional to 1,025.82, 1,415.70 and 633.06

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Solution

The fourth proportional to 1,025.82, 1,415.70 and 633.06 is: 873.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.82 : 1,415.70 = 633.06 : x
  2. Step 2: Convert to fraction form
    1,025.82/1,415.70 = 633.06/x
  3. Step 3: Cross multiply
    1,025.82x = 1,415.70 × 633.06
  4. Step 4: Simplify right side
    1,025.82x = 896,223.04
  5. Step 5: Solve for x
    x = 896,223.04/1,025.82
  6. Step 6: Final answer
    x = 873.67

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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.