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Finding the Fourth Proportional to 803.40, 1,205.60 and 543.88

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Solution

The fourth proportional to 803.40, 1,205.60 and 543.88 is: 816.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.40 : 1,205.60 = 543.88 : x
  2. Step 2: Convert to fraction form
    803.40/1,205.60 = 543.88/x
  3. Step 3: Cross multiply
    803.40x = 1,205.60 × 543.88
  4. Step 4: Simplify right side
    803.40x = 655,701.73
  5. Step 5: Solve for x
    x = 655,701.73/803.40
  6. Step 6: Final answer
    x = 816.16

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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.