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Finding the Fourth Proportional to 1,039.87, 1,434.98 and 620.00

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Solution

The fourth proportional to 1,039.87, 1,434.98 and 620.00 is: 855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.87 : 1,434.98 = 620.00 : x
  2. Step 2: Convert to fraction form
    1,039.87/1,434.98 = 620.00/x
  3. Step 3: Cross multiply
    1,039.87x = 1,434.98 × 620.00
  4. Step 4: Simplify right side
    1,039.87x = 889,688.09
  5. Step 5: Solve for x
    x = 889,688.09/1,039.87
  6. Step 6: Final answer
    x = 855.58

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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.