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Finding the Fourth Proportional to 1,007.45, 1,390.26 and 559.29

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Solution

The fourth proportional to 1,007.45, 1,390.26 and 559.29 is: 771.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.45 : 1,390.26 = 559.29 : x
  2. Step 2: Convert to fraction form
    1,007.45/1,390.26 = 559.29/x
  3. Step 3: Cross multiply
    1,007.45x = 1,390.26 × 559.29
  4. Step 4: Simplify right side
    1,007.45x = 777,560.59
  5. Step 5: Solve for x
    x = 777,560.59/1,007.45
  6. Step 6: Final answer
    x = 771.81

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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.