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Finding the Fourth Proportional to 803.71, 1,205.73 and 457.21

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Solution

The fourth proportional to 803.71, 1,205.73 and 457.21 is: 685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.71 : 1,205.73 = 457.21 : x
  2. Step 2: Convert to fraction form
    803.71/1,205.73 = 457.21/x
  3. Step 3: Cross multiply
    803.71x = 1,205.73 × 457.21
  4. Step 4: Simplify right side
    803.71x = 551,271.81
  5. Step 5: Solve for x
    x = 551,271.81/803.71
  6. Step 6: Final answer
    x = 685.91

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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.