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Finding the Fourth Proportional to 852.53, 1,176.12 and 557.42

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Solution

The fourth proportional to 852.53, 1,176.12 and 557.42 is: 768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.53 : 1,176.12 = 557.42 : x
  2. Step 2: Convert to fraction form
    852.53/1,176.12 = 557.42/x
  3. Step 3: Cross multiply
    852.53x = 1,176.12 × 557.42
  4. Step 4: Simplify right side
    852.53x = 655,586.93
  5. Step 5: Solve for x
    x = 655,586.93/852.53
  6. Step 6: Final answer
    x = 768.99

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.