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Finding the Fourth Proportional to 1,319.31, 1,820.65 and 729.93

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Solution

The fourth proportional to 1,319.31, 1,820.65 and 729.93 is: 1,007.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,319.31 : 1,820.65 = 729.93 : x
  2. Step 2: Convert to fraction form
    1,319.31/1,820.65 = 729.93/x
  3. Step 3: Cross multiply
    1,319.31x = 1,820.65 × 729.93
  4. Step 4: Simplify right side
    1,319.31x = 1,328,948.81
  5. Step 5: Solve for x
    x = 1,328,948.81/1,319.31
  6. Step 6: Final answer
    x = 1,007.31

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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.