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Finding the Fourth Proportional to 1,039.26, 1,558.56 and 345.74

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Solution

The fourth proportional to 1,039.26, 1,558.56 and 345.74 is: 518.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.26 : 1,558.56 = 345.74 : x
  2. Step 2: Convert to fraction form
    1,039.26/1,558.56 = 345.74/x
  3. Step 3: Cross multiply
    1,039.26x = 1,558.56 × 345.74
  4. Step 4: Simplify right side
    1,039.26x = 538,861.24
  5. Step 5: Solve for x
    x = 538,861.24/1,039.26
  6. Step 6: Final answer
    x = 518.50

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Double scale
Find fourth proportional to 1,040.26, 1,560.06 and 346.74
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1.5x scale

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.