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Finding the Fourth Proportional to 1,154.86, 1,731 and 461.34

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Solution

The fourth proportional to 1,154.86, 1,731 and 461.34 is: 691.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.86 : 1,731 = 461.34 : x
  2. Step 2: Convert to fraction form
    1,154.86/1,731 = 461.34/x
  3. Step 3: Cross multiply
    1,154.86x = 1,731 × 461.34
  4. Step 4: Simplify right side
    1,154.86x = 798,579.54
  5. Step 5: Solve for x
    x = 798,579.54/1,154.86
  6. Step 6: Final answer
    x = 691.49

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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.