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Finding the Fourth Proportional to 741.03, 1,111.17 and 432.98

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Solution

The fourth proportional to 741.03, 1,111.17 and 432.98 is: 649.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.03 : 1,111.17 = 432.98 : x
  2. Step 2: Convert to fraction form
    741.03/1,111.17 = 432.98/x
  3. Step 3: Cross multiply
    741.03x = 1,111.17 × 432.98
  4. Step 4: Simplify right side
    741.03x = 481,114.62
  5. Step 5: Solve for x
    x = 481,114.62/741.03
  6. Step 6: Final answer
    x = 649.25

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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.