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Finding the Fourth Proportional to 805.44, 1,205.22 and 688.40

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Solution

The fourth proportional to 805.44, 1,205.22 and 688.40 is: 1,030.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.44 : 1,205.22 = 688.40 : x
  2. Step 2: Convert to fraction form
    805.44/1,205.22 = 688.40/x
  3. Step 3: Cross multiply
    805.44x = 1,205.22 × 688.40
  4. Step 4: Simplify right side
    805.44x = 829,667.42
  5. Step 5: Solve for x
    x = 829,667.42/805.44
  6. Step 6: Final answer
    x = 1,030.08

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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.