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Finding the Fourth Proportional to 1,039.27, 1,558.39 and 345.70

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Solution

The fourth proportional to 1,039.27, 1,558.39 and 345.70 is: 518.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.27 : 1,558.39 = 345.70 : x
  2. Step 2: Convert to fraction form
    1,039.27/1,558.39 = 345.70/x
  3. Step 3: Cross multiply
    1,039.27x = 1,558.39 × 345.70
  4. Step 4: Simplify right side
    1,039.27x = 538,728.71
  5. Step 5: Solve for x
    x = 538,728.71/1,039.27
  6. Step 6: Final answer
    x = 518.37

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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.