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Finding the Fourth Proportional to 617.51, 925.71 and 325.10

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Solution

The fourth proportional to 617.51, 925.71 and 325.10 is: 487.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    617.51 : 925.71 = 325.10 : x
  2. Step 2: Convert to fraction form
    617.51/925.71 = 325.10/x
  3. Step 3: Cross multiply
    617.51x = 925.71 × 325.10
  4. Step 4: Simplify right side
    617.51x = 300,943.69
  5. Step 5: Solve for x
    x = 300,943.69/617.51
  6. Step 6: Final answer
    x = 487.35

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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.