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Finding the Fourth Proportional to 602.80, 828.64 and 543.40

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Solution

The fourth proportional to 602.80, 828.64 and 543.40 is: 746.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.80 : 828.64 = 543.40 : x
  2. Step 2: Convert to fraction form
    602.80/828.64 = 543.40/x
  3. Step 3: Cross multiply
    602.80x = 828.64 × 543.40
  4. Step 4: Simplify right side
    602.80x = 450,282.98
  5. Step 5: Solve for x
    x = 450,282.98/602.80
  6. Step 6: Final answer
    x = 746.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.