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Finding the Fourth Proportional to 741.89, 1,114.86 and 395.47

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Solution

The fourth proportional to 741.89, 1,114.86 and 395.47 is: 594.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.89 : 1,114.86 = 395.47 : x
  2. Step 2: Convert to fraction form
    741.89/1,114.86 = 395.47/x
  3. Step 3: Cross multiply
    741.89x = 1,114.86 × 395.47
  4. Step 4: Simplify right side
    741.89x = 440,894.34
  5. Step 5: Solve for x
    x = 440,894.34/741.89
  6. Step 6: Final answer
    x = 594.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.