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Finding the Fourth Proportional to 803.34, 1,205.40 and 438.12

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Solution

The fourth proportional to 803.34, 1,205.40 and 438.12 is: 657.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.34 : 1,205.40 = 438.12 : x
  2. Step 2: Convert to fraction form
    803.34/1,205.40 = 438.12/x
  3. Step 3: Cross multiply
    803.34x = 1,205.40 × 438.12
  4. Step 4: Simplify right side
    803.34x = 528,109.85
  5. Step 5: Solve for x
    x = 528,109.85/803.34
  6. Step 6: Final answer
    x = 657.39

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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.