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Finding the Fourth Proportional to 737.41, 1,018.07 and 688.45

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Solution

The fourth proportional to 737.41, 1,018.07 and 688.45 is: 950.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.41 : 1,018.07 = 688.45 : x
  2. Step 2: Convert to fraction form
    737.41/1,018.07 = 688.45/x
  3. Step 3: Cross multiply
    737.41x = 1,018.07 × 688.45
  4. Step 4: Simplify right side
    737.41x = 700,890.29
  5. Step 5: Solve for x
    x = 700,890.29/737.41
  6. Step 6: Final answer
    x = 950.48

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Why These Related Problems?

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