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Finding the Fourth Proportional to 803.02, 1,202.43 and 688.21

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Solution

The fourth proportional to 803.02, 1,202.43 and 688.21 is: 1,030.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.02 : 1,202.43 = 688.21 : x
  2. Step 2: Convert to fraction form
    803.02/1,202.43 = 688.21/x
  3. Step 3: Cross multiply
    803.02x = 1,202.43 × 688.21
  4. Step 4: Simplify right side
    803.02x = 827,524.35
  5. Step 5: Solve for x
    x = 827,524.35/803.02
  6. Step 6: Final answer
    x = 1,030.52

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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.