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Finding the Fourth Proportional to 1,039.88, 1,559.68 and 309.32

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Solution

The fourth proportional to 1,039.88, 1,559.68 and 309.32 is: 463.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.88 : 1,559.68 = 309.32 : x
  2. Step 2: Convert to fraction form
    1,039.88/1,559.68 = 309.32/x
  3. Step 3: Cross multiply
    1,039.88x = 1,559.68 × 309.32
  4. Step 4: Simplify right side
    1,039.88x = 482,440.22
  5. Step 5: Solve for x
    x = 482,440.22/1,039.88
  6. Step 6: Final answer
    x = 463.94

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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.