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Finding the Fourth Proportional to 803.83, 1,204.80 and 712.70

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Solution

The fourth proportional to 803.83, 1,204.80 and 712.70 is: 1,068.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.83 : 1,204.80 = 712.70 : x
  2. Step 2: Convert to fraction form
    803.83/1,204.80 = 712.70/x
  3. Step 3: Cross multiply
    803.83x = 1,204.80 × 712.70
  4. Step 4: Simplify right side
    803.83x = 858,657.40
  5. Step 5: Solve for x
    x = 858,657.40/803.83
  6. Step 6: Final answer
    x = 1,068.21

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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.