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Finding the Fourth Proportional to 471.20, 702.90 and 417.20

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Solution

The fourth proportional to 471.20, 702.90 and 417.20 is: 622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.20 : 702.90 = 417.20 : x
  2. Step 2: Convert to fraction form
    471.20/702.90 = 417.20/x
  3. Step 3: Cross multiply
    471.20x = 702.90 × 417.20
  4. Step 4: Simplify right side
    471.20x = 293,249.88
  5. Step 5: Solve for x
    x = 293,249.88/471.20
  6. Step 6: Final answer
    x = 622.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.