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Finding the Fourth Proportional to 742.56, 1,112.80 and 309.12

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Solution

The fourth proportional to 742.56, 1,112.80 and 309.12 is: 463.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.56 : 1,112.80 = 309.12 : x
  2. Step 2: Convert to fraction form
    742.56/1,112.80 = 309.12/x
  3. Step 3: Cross multiply
    742.56x = 1,112.80 × 309.12
  4. Step 4: Simplify right side
    742.56x = 343,988.74
  5. Step 5: Solve for x
    x = 343,988.74/742.56
  6. Step 6: Final answer
    x = 463.25

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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.