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Finding the Fourth Proportional to 900.40, 1,347.90 and 803.20

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Solution

The fourth proportional to 900.40, 1,347.90 and 803.20 is: 1,202.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.40 : 1,347.90 = 803.20 : x
  2. Step 2: Convert to fraction form
    900.40/1,347.90 = 803.20/x
  3. Step 3: Cross multiply
    900.40x = 1,347.90 × 803.20
  4. Step 4: Simplify right side
    900.40x = 1,082,633.28
  5. Step 5: Solve for x
    x = 1,082,633.28/900.40
  6. Step 6: Final answer
    x = 1,202.39

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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.