Home / 1,020.08-1,406.63-997.50

Finding the Fourth Proportional to 1,020.08, 1,406.63 and 997.50

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Solution

The fourth proportional to 1,020.08, 1,406.63 and 997.50 is: 1,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.08 : 1,406.63 = 997.50 : x
  2. Step 2: Convert to fraction form
    1,020.08/1,406.63 = 997.50/x
  3. Step 3: Cross multiply
    1,020.08x = 1,406.63 × 997.50
  4. Step 4: Simplify right side
    1,020.08x = 1,403,113.43
  5. Step 5: Solve for x
    x = 1,403,113.43/1,020.08
  6. Step 6: Final answer
    x = 1,375.49

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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.