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Finding the Fourth Proportional to 1,004.09, 1,385.64 and 555.93

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Solution

The fourth proportional to 1,004.09, 1,385.64 and 555.93 is: 767.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,004.09 : 1,385.64 = 555.93 : x
  2. Step 2: Convert to fraction form
    1,004.09/1,385.64 = 555.93/x
  3. Step 3: Cross multiply
    1,004.09x = 1,385.64 × 555.93
  4. Step 4: Simplify right side
    1,004.09x = 770,318.85
  5. Step 5: Solve for x
    x = 770,318.85/1,004.09
  6. Step 6: Final answer
    x = 767.18

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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.