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Finding the Fourth Proportional to 741.98, 1,113.11 and 309.13

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Solution

The fourth proportional to 741.98, 1,113.11 and 309.13 is: 463.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.98 : 1,113.11 = 309.13 : x
  2. Step 2: Convert to fraction form
    741.98/1,113.11 = 309.13/x
  3. Step 3: Cross multiply
    741.98x = 1,113.11 × 309.13
  4. Step 4: Simplify right side
    741.98x = 344,095.69
  5. Step 5: Solve for x
    x = 344,095.69/741.98
  6. Step 6: Final answer
    x = 463.75

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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.