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Finding the Fourth Proportional to 1,306.46, 1,803 and 739.44

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Solution

The fourth proportional to 1,306.46, 1,803 and 739.44 is: 1,020.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.46 : 1,803 = 739.44 : x
  2. Step 2: Convert to fraction form
    1,306.46/1,803 = 739.44/x
  3. Step 3: Cross multiply
    1,306.46x = 1,803 × 739.44
  4. Step 4: Simplify right side
    1,306.46x = 1,333,210.32
  5. Step 5: Solve for x
    x = 1,333,210.32/1,306.46
  6. Step 6: Final answer
    x = 1,020.48

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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.