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Finding the Fourth Proportional to 738.34, 1,109.06 and 713.76

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Solution

The fourth proportional to 738.34, 1,109.06 and 713.76 is: 1,072.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.34 : 1,109.06 = 713.76 : x
  2. Step 2: Convert to fraction form
    738.34/1,109.06 = 713.76/x
  3. Step 3: Cross multiply
    738.34x = 1,109.06 × 713.76
  4. Step 4: Simplify right side
    738.34x = 791,602.67
  5. Step 5: Solve for x
    x = 791,602.67/738.34
  6. Step 6: Final answer
    x = 1,072.14

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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.