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Finding the Fourth Proportional to 419.20, 570.74 and 417.90

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Solution

The fourth proportional to 419.20, 570.74 and 417.90 is: 568.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.20 : 570.74 = 417.90 : x
  2. Step 2: Convert to fraction form
    419.20/570.74 = 417.90/x
  3. Step 3: Cross multiply
    419.20x = 570.74 × 417.90
  4. Step 4: Simplify right side
    419.20x = 238,512.25
  5. Step 5: Solve for x
    x = 238,512.25/419.20
  6. Step 6: Final answer
    x = 568.97

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.