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Finding the Fourth Proportional to 1,039.81, 1,558.37 and 907.38

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Solution

The fourth proportional to 1,039.81, 1,558.37 and 907.38 is: 1,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.81 : 1,558.37 = 907.38 : x
  2. Step 2: Convert to fraction form
    1,039.81/1,558.37 = 907.38/x
  3. Step 3: Cross multiply
    1,039.81x = 1,558.37 × 907.38
  4. Step 4: Simplify right side
    1,039.81x = 1,414,029.23
  5. Step 5: Solve for x
    x = 1,414,029.23/1,039.81
  6. Step 6: Final answer
    x = 1,359.89

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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.