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Finding the Fourth Proportional to 805.66, 1,208.68 and 573.98

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Solution

The fourth proportional to 805.66, 1,208.68 and 573.98 is: 861.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.66 : 1,208.68 = 573.98 : x
  2. Step 2: Convert to fraction form
    805.66/1,208.68 = 573.98/x
  3. Step 3: Cross multiply
    805.66x = 1,208.68 × 573.98
  4. Step 4: Simplify right side
    805.66x = 693,750.67
  5. Step 5: Solve for x
    x = 693,750.67/805.66
  6. Step 6: Final answer
    x = 861.10

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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.