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Finding the Fourth Proportional to 565.08, 785.22 and 559.14

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Solution

The fourth proportional to 565.08, 785.22 and 559.14 is: 776.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.08 : 785.22 = 559.14 : x
  2. Step 2: Convert to fraction form
    565.08/785.22 = 559.14/x
  3. Step 3: Cross multiply
    565.08x = 785.22 × 559.14
  4. Step 4: Simplify right side
    565.08x = 439,047.91
  5. Step 5: Solve for x
    x = 439,047.91/565.08
  6. Step 6: Final answer
    x = 776.97

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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.