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Finding the Fourth Proportional to 739.34, 1,110.56 and 714.76

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Solution

The fourth proportional to 739.34, 1,110.56 and 714.76 is: 1,073.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.34 : 1,110.56 = 714.76 : x
  2. Step 2: Convert to fraction form
    739.34/1,110.56 = 714.76/x
  3. Step 3: Cross multiply
    739.34x = 1,110.56 × 714.76
  4. Step 4: Simplify right side
    739.34x = 793,783.87
  5. Step 5: Solve for x
    x = 793,783.87/739.34
  6. Step 6: Final answer
    x = 1,073.64

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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.