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Finding the Fourth Proportional to 417.14, 620.80 and 403.30

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Solution

The fourth proportional to 417.14, 620.80 and 403.30 is: 600.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.14 : 620.80 = 403.30 : x
  2. Step 2: Convert to fraction form
    417.14/620.80 = 403.30/x
  3. Step 3: Cross multiply
    417.14x = 620.80 × 403.30
  4. Step 4: Simplify right side
    417.14x = 250,368.64
  5. Step 5: Solve for x
    x = 250,368.64/417.14
  6. Step 6: Final answer
    x = 600.20

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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.