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Finding the Fourth Proportional to 754.43, 1,130.43 and 407.93

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Solution

The fourth proportional to 754.43, 1,130.43 and 407.93 is: 611.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.43 : 1,130.43 = 407.93 : x
  2. Step 2: Convert to fraction form
    754.43/1,130.43 = 407.93/x
  3. Step 3: Cross multiply
    754.43x = 1,130.43 × 407.93
  4. Step 4: Simplify right side
    754.43x = 461,131.41
  5. Step 5: Solve for x
    x = 461,131.41/754.43
  6. Step 6: Final answer
    x = 611.23

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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.