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Finding the Fourth Proportional to 757.21, 1,045.26 and 462.58

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Solution

The fourth proportional to 757.21, 1,045.26 and 462.58 is: 638.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.21 : 1,045.26 = 462.58 : x
  2. Step 2: Convert to fraction form
    757.21/1,045.26 = 462.58/x
  3. Step 3: Cross multiply
    757.21x = 1,045.26 × 462.58
  4. Step 4: Simplify right side
    757.21x = 483,516.37
  5. Step 5: Solve for x
    x = 483,516.37/757.21
  6. Step 6: Final answer
    x = 638.55

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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.