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Finding the Fourth Proportional to 803.57, 1,108.74 and 488.83

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Solution

The fourth proportional to 803.57, 1,108.74 and 488.83 is: 674.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.57 : 1,108.74 = 488.83 : x
  2. Step 2: Convert to fraction form
    803.57/1,108.74 = 488.83/x
  3. Step 3: Cross multiply
    803.57x = 1,108.74 × 488.83
  4. Step 4: Simplify right side
    803.57x = 541,985.37
  5. Step 5: Solve for x
    x = 541,985.37/803.57
  6. Step 6: Final answer
    x = 674.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.