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Finding the Fourth Proportional to 565.83, 784.44 and 545.81

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Solution

The fourth proportional to 565.83, 784.44 and 545.81 is: 756.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.83 : 784.44 = 545.81 : x
  2. Step 2: Convert to fraction form
    565.83/784.44 = 545.81/x
  3. Step 3: Cross multiply
    565.83x = 784.44 × 545.81
  4. Step 4: Simplify right side
    565.83x = 428,151.27
  5. Step 5: Solve for x
    x = 428,151.27/565.83
  6. Step 6: Final answer
    x = 756.68

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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.