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Finding the Fourth Proportional to 803.75, 1,206.70 and 457.29

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Solution

The fourth proportional to 803.75, 1,206.70 and 457.29 is: 686.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.75 : 1,206.70 = 457.29 : x
  2. Step 2: Convert to fraction form
    803.75/1,206.70 = 457.29/x
  3. Step 3: Cross multiply
    803.75x = 1,206.70 × 457.29
  4. Step 4: Simplify right side
    803.75x = 551,810.70
  5. Step 5: Solve for x
    x = 551,810.70/803.75
  6. Step 6: Final answer
    x = 686.55

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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.