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Finding the Fourth Proportional to 1,039.74, 1,559.34 and 309.15

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Solution

The fourth proportional to 1,039.74, 1,559.34 and 309.15 is: 463.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.74 : 1,559.34 = 309.15 : x
  2. Step 2: Convert to fraction form
    1,039.74/1,559.34 = 309.15/x
  3. Step 3: Cross multiply
    1,039.74x = 1,559.34 × 309.15
  4. Step 4: Simplify right side
    1,039.74x = 482,069.96
  5. Step 5: Solve for x
    x = 482,069.96/1,039.74
  6. Step 6: Final answer
    x = 463.64

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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.