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Finding the Fourth Proportional to 757.76, 1,045.68 and 459.02

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Solution

The fourth proportional to 757.76, 1,045.68 and 459.02 is: 633.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.76 : 1,045.68 = 459.02 : x
  2. Step 2: Convert to fraction form
    757.76/1,045.68 = 459.02/x
  3. Step 3: Cross multiply
    757.76x = 1,045.68 × 459.02
  4. Step 4: Simplify right side
    757.76x = 479,982.81
  5. Step 5: Solve for x
    x = 479,982.81/757.76
  6. Step 6: Final answer
    x = 633.43

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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.