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Finding the Fourth Proportional to 536.26, 740.20 and 419.62

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Solution

The fourth proportional to 536.26, 740.20 and 419.62 is: 579.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.26 : 740.20 = 419.62 : x
  2. Step 2: Convert to fraction form
    536.26/740.20 = 419.62/x
  3. Step 3: Cross multiply
    536.26x = 740.20 × 419.62
  4. Step 4: Simplify right side
    536.26x = 310,602.72
  5. Step 5: Solve for x
    x = 310,602.72/536.26
  6. Step 6: Final answer
    x = 579.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.