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Finding the Fourth Proportional to 741.98, 1,023.90 and 410.39

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Solution

The fourth proportional to 741.98, 1,023.90 and 410.39 is: 566.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.98 : 1,023.90 = 410.39 : x
  2. Step 2: Convert to fraction form
    741.98/1,023.90 = 410.39/x
  3. Step 3: Cross multiply
    741.98x = 1,023.90 × 410.39
  4. Step 4: Simplify right side
    741.98x = 420,193.20
  5. Step 5: Solve for x
    x = 420,193.20/741.98
  6. Step 6: Final answer
    x = 566.32

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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.