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Finding the Fourth Proportional to 803.41, 1,204.20 and 607.77

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Solution

The fourth proportional to 803.41, 1,204.20 and 607.77 is: 910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.41 : 1,204.20 = 607.77 : x
  2. Step 2: Convert to fraction form
    803.41/1,204.20 = 607.77/x
  3. Step 3: Cross multiply
    803.41x = 1,204.20 × 607.77
  4. Step 4: Simplify right side
    803.41x = 731,876.63
  5. Step 5: Solve for x
    x = 731,876.63/803.41
  6. Step 6: Final answer
    x = 910.96

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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.