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Finding the Fourth Proportional to 1,039.77, 1,559.64 and 309.45

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Solution

The fourth proportional to 1,039.77, 1,559.64 and 309.45 is: 464.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,039.77 : 1,559.64 = 309.45 : x
  2. Step 2: Convert to fraction form
    1,039.77/1,559.64 = 309.45/x
  3. Step 3: Cross multiply
    1,039.77x = 1,559.64 × 309.45
  4. Step 4: Simplify right side
    1,039.77x = 482,630.60
  5. Step 5: Solve for x
    x = 482,630.60/1,039.77
  6. Step 6: Final answer
    x = 464.17

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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.