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Finding the Fourth Proportional to 538.80, 805.80 and 452.40

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Solution

The fourth proportional to 538.80, 805.80 and 452.40 is: 676.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    538.80 : 805.80 = 452.40 : x
  2. Step 2: Convert to fraction form
    538.80/805.80 = 452.40/x
  3. Step 3: Cross multiply
    538.80x = 805.80 × 452.40
  4. Step 4: Simplify right side
    538.80x = 364,543.92
  5. Step 5: Solve for x
    x = 364,543.92/538.80
  6. Step 6: Final answer
    x = 676.58

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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.