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Finding the Fourth Proportional to 1,290.07, 1,780.10 and 730.43

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Solution

The fourth proportional to 1,290.07, 1,780.10 and 730.43 is: 1,007.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,290.07 : 1,780.10 = 730.43 : x
  2. Step 2: Convert to fraction form
    1,290.07/1,780.10 = 730.43/x
  3. Step 3: Cross multiply
    1,290.07x = 1,780.10 × 730.43
  4. Step 4: Simplify right side
    1,290.07x = 1,300,225.89
  5. Step 5: Solve for x
    x = 1,300,225.89/1,290.07
  6. Step 6: Final answer
    x = 1,007.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.