Home / 1,319.07-1,820.34-729.57

Finding the Fourth Proportional to 1,319.07, 1,820.34 and 729.57

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Solution

The fourth proportional to 1,319.07, 1,820.34 and 729.57 is: 1,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.07 : 1,820.34 = 729.57 : x
  2. Step 2: Convert to fraction form
    1,319.07/1,820.34 = 729.57/x
  3. Step 3: Cross multiply
    1,319.07x = 1,820.34 × 729.57
  4. Step 4: Simplify right side
    1,319.07x = 1,328,065.45
  5. Step 5: Solve for x
    x = 1,328,065.45/1,319.07
  6. Step 6: Final answer
    x = 1,006.82

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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.