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Finding the Fourth Proportional to 419.21, 624.11 and 417.18

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Solution

The fourth proportional to 419.21, 624.11 and 417.18 is: 621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.21 : 624.11 = 417.18 : x
  2. Step 2: Convert to fraction form
    419.21/624.11 = 417.18/x
  3. Step 3: Cross multiply
    419.21x = 624.11 × 417.18
  4. Step 4: Simplify right side
    419.21x = 260,364.12
  5. Step 5: Solve for x
    x = 260,364.12/419.21
  6. Step 6: Final answer
    x = 621.09

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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.