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Finding the Fourth Proportional to 736.70, 1,102.76 and 461.50

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Solution

The fourth proportional to 736.70, 1,102.76 and 461.50 is: 690.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.70 : 1,102.76 = 461.50 : x
  2. Step 2: Convert to fraction form
    736.70/1,102.76 = 461.50/x
  3. Step 3: Cross multiply
    736.70x = 1,102.76 × 461.50
  4. Step 4: Simplify right side
    736.70x = 508,923.00
  5. Step 5: Solve for x
    x = 508,923.00/736.70
  6. Step 6: Final answer
    x = 690.82

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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.