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Finding the Fourth Proportional to 537.90, 741.87 and 407.22

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Solution

The fourth proportional to 537.90, 741.87 and 407.22 is: 561.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.90 : 741.87 = 407.22 : x
  2. Step 2: Convert to fraction form
    537.90/741.87 = 407.22/x
  3. Step 3: Cross multiply
    537.90x = 741.87 × 407.22
  4. Step 4: Simplify right side
    537.90x = 302,104.30
  5. Step 5: Solve for x
    x = 302,104.30/537.90
  6. Step 6: Final answer
    x = 561.64

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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.