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Finding the Fourth Proportional to 417.79, 627.50 and 379.72

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Solution

The fourth proportional to 417.79, 627.50 and 379.72 is: 570.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.79 : 627.50 = 379.72 : x
  2. Step 2: Convert to fraction form
    417.79/627.50 = 379.72/x
  3. Step 3: Cross multiply
    417.79x = 627.50 × 379.72
  4. Step 4: Simplify right side
    417.79x = 238,274.30
  5. Step 5: Solve for x
    x = 238,274.30/417.79
  6. Step 6: Final answer
    x = 570.32

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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.