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Finding the Fourth Proportional to 805.15, 1,206.72 and 572.77

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Solution

The fourth proportional to 805.15, 1,206.72 and 572.77 is: 858.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.15 : 1,206.72 = 572.77 : x
  2. Step 2: Convert to fraction form
    805.15/1,206.72 = 572.77/x
  3. Step 3: Cross multiply
    805.15x = 1,206.72 × 572.77
  4. Step 4: Simplify right side
    805.15x = 691,173.01
  5. Step 5: Solve for x
    x = 691,173.01/805.15
  6. Step 6: Final answer
    x = 858.44

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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.