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Finding the Fourth Proportional to 800.59, 1,199.34 and 525.85

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Solution

The fourth proportional to 800.59, 1,199.34 and 525.85 is: 787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.59 : 1,199.34 = 525.85 : x
  2. Step 2: Convert to fraction form
    800.59/1,199.34 = 525.85/x
  3. Step 3: Cross multiply
    800.59x = 1,199.34 × 525.85
  4. Step 4: Simplify right side
    800.59x = 630,670.31
  5. Step 5: Solve for x
    x = 630,670.31/800.59
  6. Step 6: Final answer
    x = 787.75

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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.