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Finding the Fourth Proportional to 1,034.63, 1,550.99 and 944.45

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Solution

The fourth proportional to 1,034.63, 1,550.99 and 944.45 is: 1,415.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,034.63 : 1,550.99 = 944.45 : x
  2. Step 2: Convert to fraction form
    1,034.63/1,550.99 = 944.45/x
  3. Step 3: Cross multiply
    1,034.63x = 1,550.99 × 944.45
  4. Step 4: Simplify right side
    1,034.63x = 1,464,827.11
  5. Step 5: Solve for x
    x = 1,464,827.11/1,034.63
  6. Step 6: Final answer
    x = 1,415.80

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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.