Home / 1,020.09-1,529.44-654.67

Finding the Fourth Proportional to 1,020.09, 1,529.44 and 654.67

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Solution

The fourth proportional to 1,020.09, 1,529.44 and 654.67 is: 981.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.09 : 1,529.44 = 654.67 : x
  2. Step 2: Convert to fraction form
    1,020.09/1,529.44 = 654.67/x
  3. Step 3: Cross multiply
    1,020.09x = 1,529.44 × 654.67
  4. Step 4: Simplify right side
    1,020.09x = 1,001,284.90
  5. Step 5: Solve for x
    x = 1,001,284.90/1,020.09
  6. Step 6: Final answer
    x = 981.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.