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Finding the Fourth Proportional to 937.63, 1,405.98 and 547.76

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Solution

The fourth proportional to 937.63, 1,405.98 and 547.76 is: 821.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    937.63 : 1,405.98 = 547.76 : x
  2. Step 2: Convert to fraction form
    937.63/1,405.98 = 547.76/x
  3. Step 3: Cross multiply
    937.63x = 1,405.98 × 547.76
  4. Step 4: Simplify right side
    937.63x = 770,139.60
  5. Step 5: Solve for x
    x = 770,139.60/937.63
  6. Step 6: Final answer
    x = 821.37

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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.