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Finding the Fourth Proportional to 417.84, 627.08 and 360.24

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Solution

The fourth proportional to 417.84, 627.08 and 360.24 is: 540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.84 : 627.08 = 360.24 : x
  2. Step 2: Convert to fraction form
    417.84/627.08 = 360.24/x
  3. Step 3: Cross multiply
    417.84x = 627.08 × 360.24
  4. Step 4: Simplify right side
    417.84x = 225,899.30
  5. Step 5: Solve for x
    x = 225,899.30/417.84
  6. Step 6: Final answer
    x = 540.64

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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.