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Finding the Fourth Proportional to 1,319.34, 1,820.68 and 729.89

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Solution

The fourth proportional to 1,319.34, 1,820.68 and 729.89 is: 1,007.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.34 : 1,820.68 = 729.89 : x
  2. Step 2: Convert to fraction form
    1,319.34/1,820.68 = 729.89/x
  3. Step 3: Cross multiply
    1,319.34x = 1,820.68 × 729.89
  4. Step 4: Simplify right side
    1,319.34x = 1,328,896.13
  5. Step 5: Solve for x
    x = 1,328,896.13/1,319.34
  6. Step 6: Final answer
    x = 1,007.24

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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.