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Finding the Fourth Proportional to 419.04, 575.82 and 374.40

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Solution

The fourth proportional to 419.04, 575.82 and 374.40 is: 514.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    419.04 : 575.82 = 374.40 : x
  2. Step 2: Convert to fraction form
    419.04/575.82 = 374.40/x
  3. Step 3: Cross multiply
    419.04x = 575.82 × 374.40
  4. Step 4: Simplify right side
    419.04x = 215,587.01
  5. Step 5: Solve for x
    x = 215,587.01/419.04
  6. Step 6: Final answer
    x = 514.48

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.