Home / 1,020.75-1,531.44-587.67

Finding the Fourth Proportional to 1,020.75, 1,531.44 and 587.67

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Solution

The fourth proportional to 1,020.75, 1,531.44 and 587.67 is: 881.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.75 : 1,531.44 = 587.67 : x
  2. Step 2: Convert to fraction form
    1,020.75/1,531.44 = 587.67/x
  3. Step 3: Cross multiply
    1,020.75x = 1,531.44 × 587.67
  4. Step 4: Simplify right side
    1,020.75x = 899,981.34
  5. Step 5: Solve for x
    x = 899,981.34/1,020.75
  6. Step 6: Final answer
    x = 881.69

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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.