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Finding the Fourth Proportional to 762.30, 1,051.46 and 736.91

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Solution

The fourth proportional to 762.30, 1,051.46 and 736.91 is: 1,016.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.30 : 1,051.46 = 736.91 : x
  2. Step 2: Convert to fraction form
    762.30/1,051.46 = 736.91/x
  3. Step 3: Cross multiply
    762.30x = 1,051.46 × 736.91
  4. Step 4: Simplify right side
    762.30x = 774,822.45
  5. Step 5: Solve for x
    x = 774,822.45/762.30
  6. Step 6: Final answer
    x = 1,016.43

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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.