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Finding the Fourth Proportional to 1,319.39, 1,820.71 and 729.91

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Solution

The fourth proportional to 1,319.39, 1,820.71 and 729.91 is: 1,007.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.39 : 1,820.71 = 729.91 : x
  2. Step 2: Convert to fraction form
    1,319.39/1,820.71 = 729.91/x
  3. Step 3: Cross multiply
    1,319.39x = 1,820.71 × 729.91
  4. Step 4: Simplify right side
    1,319.39x = 1,328,957.62
  5. Step 5: Solve for x
    x = 1,328,957.62/1,319.39
  6. Step 6: Final answer
    x = 1,007.25

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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.