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Finding the Fourth Proportional to 1,154.77, 1,732.01 and 321.90

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Solution

The fourth proportional to 1,154.77, 1,732.01 and 321.90 is: 482.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,154.77 : 1,732.01 = 321.90 : x
  2. Step 2: Convert to fraction form
    1,154.77/1,732.01 = 321.90/x
  3. Step 3: Cross multiply
    1,154.77x = 1,732.01 × 321.90
  4. Step 4: Simplify right side
    1,154.77x = 557,533.50
  5. Step 5: Solve for x
    x = 557,533.50/1,154.77
  6. Step 6: Final answer
    x = 482.81

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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.