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Finding the Fourth Proportional to 805.58, 1,199.70 and 778.24

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Solution

The fourth proportional to 805.58, 1,199.70 and 778.24 is: 1,158.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.58 : 1,199.70 = 778.24 : x
  2. Step 2: Convert to fraction form
    805.58/1,199.70 = 778.24/x
  3. Step 3: Cross multiply
    805.58x = 1,199.70 × 778.24
  4. Step 4: Simplify right side
    805.58x = 933,654.53
  5. Step 5: Solve for x
    x = 933,654.53/805.58
  6. Step 6: Final answer
    x = 1,158.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.