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Finding the Fourth Proportional to 737.47, 1,111.57 and 697.78

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Solution

The fourth proportional to 737.47, 1,111.57 and 697.78 is: 1,051.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.47 : 1,111.57 = 697.78 : x
  2. Step 2: Convert to fraction form
    737.47/1,111.57 = 697.78/x
  3. Step 3: Cross multiply
    737.47x = 1,111.57 × 697.78
  4. Step 4: Simplify right side
    737.47x = 775,631.31
  5. Step 5: Solve for x
    x = 775,631.31/737.47
  6. Step 6: Final answer
    x = 1,051.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.