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Finding the Fourth Proportional to 417.21, 625.17 and 287.28

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Solution

The fourth proportional to 417.21, 625.17 and 287.28 is: 430.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.21 : 625.17 = 287.28 : x
  2. Step 2: Convert to fraction form
    417.21/625.17 = 287.28/x
  3. Step 3: Cross multiply
    417.21x = 625.17 × 287.28
  4. Step 4: Simplify right side
    417.21x = 179,598.84
  5. Step 5: Solve for x
    x = 179,598.84/417.21
  6. Step 6: Final answer
    x = 430.48

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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.