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Finding the Fourth Proportional to 565.83, 784.46 and 545.78

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Solution

The fourth proportional to 565.83, 784.46 and 545.78 is: 756.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.83 : 784.46 = 545.78 : x
  2. Step 2: Convert to fraction form
    565.83/784.46 = 545.78/x
  3. Step 3: Cross multiply
    565.83x = 784.46 × 545.78
  4. Step 4: Simplify right side
    565.83x = 428,143.86
  5. Step 5: Solve for x
    x = 428,143.86/565.83
  6. Step 6: Final answer
    x = 756.67

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.