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Finding the Fourth Proportional to 893.61, 1,339.37 and 503.80

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Solution

The fourth proportional to 893.61, 1,339.37 and 503.80 is: 755.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.61 : 1,339.37 = 503.80 : x
  2. Step 2: Convert to fraction form
    893.61/1,339.37 = 503.80/x
  3. Step 3: Cross multiply
    893.61x = 1,339.37 × 503.80
  4. Step 4: Simplify right side
    893.61x = 674,770.63
  5. Step 5: Solve for x
    x = 674,770.63/893.61
  6. Step 6: Final answer
    x = 755.11

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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.