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Finding the Fourth Proportional to 530.75, 792.39 and 453.74

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Solution

The fourth proportional to 530.75, 792.39 and 453.74 is: 677.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.75 : 792.39 = 453.74 : x
  2. Step 2: Convert to fraction form
    530.75/792.39 = 453.74/x
  3. Step 3: Cross multiply
    530.75x = 792.39 × 453.74
  4. Step 4: Simplify right side
    530.75x = 359,540.17
  5. Step 5: Solve for x
    x = 359,540.17/530.75
  6. Step 6: Final answer
    x = 677.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.