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Finding the Fourth Proportional to 1,201.34, 1,657.75 and 677.50

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Solution

The fourth proportional to 1,201.34, 1,657.75 and 677.50 is: 934.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,201.34 : 1,657.75 = 677.50 : x
  2. Step 2: Convert to fraction form
    1,201.34/1,657.75 = 677.50/x
  3. Step 3: Cross multiply
    1,201.34x = 1,657.75 × 677.50
  4. Step 4: Simplify right side
    1,201.34x = 1,123,125.63
  5. Step 5: Solve for x
    x = 1,123,125.63/1,201.34
  6. Step 6: Final answer
    x = 934.89

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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.