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Finding the Fourth Proportional to 596.53, 894.78 and 564.94

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Solution

The fourth proportional to 596.53, 894.78 and 564.94 is: 847.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.53 : 894.78 = 564.94 : x
  2. Step 2: Convert to fraction form
    596.53/894.78 = 564.94/x
  3. Step 3: Cross multiply
    596.53x = 894.78 × 564.94
  4. Step 4: Simplify right side
    596.53x = 505,497.01
  5. Step 5: Solve for x
    x = 505,497.01/596.53
  6. Step 6: Final answer
    x = 847.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.