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Finding the Fourth Proportional to 1,034.07, 1,550.34 and 485.93

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Solution

The fourth proportional to 1,034.07, 1,550.34 and 485.93 is: 728.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.07 : 1,550.34 = 485.93 : x
  2. Step 2: Convert to fraction form
    1,034.07/1,550.34 = 485.93/x
  3. Step 3: Cross multiply
    1,034.07x = 1,550.34 × 485.93
  4. Step 4: Simplify right side
    1,034.07x = 753,360.59
  5. Step 5: Solve for x
    x = 753,360.59/1,034.07
  6. Step 6: Final answer
    x = 728.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.