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Finding the Fourth Proportional to 565.74, 845.01 and 513.90

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Solution

The fourth proportional to 565.74, 845.01 and 513.90 is: 767.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.74 : 845.01 = 513.90 : x
  2. Step 2: Convert to fraction form
    565.74/845.01 = 513.90/x
  3. Step 3: Cross multiply
    565.74x = 845.01 × 513.90
  4. Step 4: Simplify right side
    565.74x = 434,250.64
  5. Step 5: Solve for x
    x = 434,250.64/565.74
  6. Step 6: Final answer
    x = 767.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.