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Finding the Fourth Proportional to 754.34, 1,041.12 and 491.90

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Solution

The fourth proportional to 754.34, 1,041.12 and 491.90 is: 678.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.34 : 1,041.12 = 491.90 : x
  2. Step 2: Convert to fraction form
    754.34/1,041.12 = 491.90/x
  3. Step 3: Cross multiply
    754.34x = 1,041.12 × 491.90
  4. Step 4: Simplify right side
    754.34x = 512,121.72
  5. Step 5: Solve for x
    x = 512,121.72/754.34
  6. Step 6: Final answer
    x = 678.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.