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Finding the Fourth Proportional to 740.50, 1,111.24 and 307.56

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Solution

The fourth proportional to 740.50, 1,111.24 and 307.56 is: 461.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.50 : 1,111.24 = 307.56 : x
  2. Step 2: Convert to fraction form
    740.50/1,111.24 = 307.56/x
  3. Step 3: Cross multiply
    740.50x = 1,111.24 × 307.56
  4. Step 4: Simplify right side
    740.50x = 341,772.97
  5. Step 5: Solve for x
    x = 341,772.97/740.50
  6. Step 6: Final answer
    x = 461.54

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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.