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Finding the Fourth Proportional to 729.02, 1,098.44 and 650.42

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Solution

The fourth proportional to 729.02, 1,098.44 and 650.42 is: 980.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.02 : 1,098.44 = 650.42 : x
  2. Step 2: Convert to fraction form
    729.02/1,098.44 = 650.42/x
  3. Step 3: Cross multiply
    729.02x = 1,098.44 × 650.42
  4. Step 4: Simplify right side
    729.02x = 714,447.34
  5. Step 5: Solve for x
    x = 714,447.34/729.02
  6. Step 6: Final answer
    x = 980.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.