Home / 1,030.20-1,421.99-768.57

Finding the Fourth Proportional to 1,030.20, 1,421.99 and 768.57

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Solution

The fourth proportional to 1,030.20, 1,421.99 and 768.57 is: 1,060.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.20 : 1,421.99 = 768.57 : x
  2. Step 2: Convert to fraction form
    1,030.20/1,421.99 = 768.57/x
  3. Step 3: Cross multiply
    1,030.20x = 1,421.99 × 768.57
  4. Step 4: Simplify right side
    1,030.20x = 1,092,898.85
  5. Step 5: Solve for x
    x = 1,092,898.85/1,030.20
  6. Step 6: Final answer
    x = 1,060.86

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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.