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Finding the Fourth Proportional to 3,051.76, 4,577.60 and 743.28

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Solution

The fourth proportional to 3,051.76, 4,577.60 and 743.28 is: 1,114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.76 : 4,577.60 = 743.28 : x
  2. Step 2: Convert to fraction form
    3,051.76/4,577.60 = 743.28/x
  3. Step 3: Cross multiply
    3,051.76x = 4,577.60 × 743.28
  4. Step 4: Simplify right side
    3,051.76x = 3,402,438.53
  5. Step 5: Solve for x
    x = 3,402,438.53/3,051.76
  6. Step 6: Final answer
    x = 1,114.91

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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.