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Finding the Fourth Proportional to 1,156.21, 1,732.75 and 425.09

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Solution

The fourth proportional to 1,156.21, 1,732.75 and 425.09 is: 637.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,156.21 : 1,732.75 = 425.09 : x
  2. Step 2: Convert to fraction form
    1,156.21/1,732.75 = 425.09/x
  3. Step 3: Cross multiply
    1,156.21x = 1,732.75 × 425.09
  4. Step 4: Simplify right side
    1,156.21x = 736,574.70
  5. Step 5: Solve for x
    x = 736,574.70/1,156.21
  6. Step 6: Final answer
    x = 637.06

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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.