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Finding the Fourth Proportional to 1,354.20, 1,868.77 and 764.76

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Solution

The fourth proportional to 1,354.20, 1,868.77 and 764.76 is: 1,055.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.20 : 1,868.77 = 764.76 : x
  2. Step 2: Convert to fraction form
    1,354.20/1,868.77 = 764.76/x
  3. Step 3: Cross multiply
    1,354.20x = 1,868.77 × 764.76
  4. Step 4: Simplify right side
    1,354.20x = 1,429,160.55
  5. Step 5: Solve for x
    x = 1,429,160.55/1,354.20
  6. Step 6: Final answer
    x = 1,055.35

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