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Finding the Fourth Proportional to 742.63, 1,018.16 and 729.46

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Solution

The fourth proportional to 742.63, 1,018.16 and 729.46 is: 1,000.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.63 : 1,018.16 = 729.46 : x
  2. Step 2: Convert to fraction form
    742.63/1,018.16 = 729.46/x
  3. Step 3: Cross multiply
    742.63x = 1,018.16 × 729.46
  4. Step 4: Simplify right side
    742.63x = 742,706.99
  5. Step 5: Solve for x
    x = 742,706.99/742.63
  6. Step 6: Final answer
    x = 1,000.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.