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Finding the Fourth Proportional to 803.40, 1,205.10 and 456.84

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Solution

The fourth proportional to 803.40, 1,205.10 and 456.84 is: 685.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.40 : 1,205.10 = 456.84 : x
  2. Step 2: Convert to fraction form
    803.40/1,205.10 = 456.84/x
  3. Step 3: Cross multiply
    803.40x = 1,205.10 × 456.84
  4. Step 4: Simplify right side
    803.40x = 550,537.88
  5. Step 5: Solve for x
    x = 550,537.88/803.40
  6. Step 6: Final answer
    x = 685.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.