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Finding the Fourth Proportional to 1,114.13, 1,671.47 and 344.63

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Solution

The fourth proportional to 1,114.13, 1,671.47 and 344.63 is: 517.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.13 : 1,671.47 = 344.63 : x
  2. Step 2: Convert to fraction form
    1,114.13/1,671.47 = 344.63/x
  3. Step 3: Cross multiply
    1,114.13x = 1,671.47 × 344.63
  4. Step 4: Simplify right side
    1,114.13x = 576,028.63
  5. Step 5: Solve for x
    x = 576,028.63/1,114.13
  6. Step 6: Final answer
    x = 517.02

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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.