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Finding the Fourth Proportional to 757.53, 1,045.29 and 421.41

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Solution

The fourth proportional to 757.53, 1,045.29 and 421.41 is: 581.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.53 : 1,045.29 = 421.41 : x
  2. Step 2: Convert to fraction form
    757.53/1,045.29 = 421.41/x
  3. Step 3: Cross multiply
    757.53x = 1,045.29 × 421.41
  4. Step 4: Simplify right side
    757.53x = 440,495.66
  5. Step 5: Solve for x
    x = 440,495.66/757.53
  6. Step 6: Final answer
    x = 581.49

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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.