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Finding the Fourth Proportional to 596.40, 894.60 and 565.20

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Solution

The fourth proportional to 596.40, 894.60 and 565.20 is: 847.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.40 : 894.60 = 565.20 : x
  2. Step 2: Convert to fraction form
    596.40/894.60 = 565.20/x
  3. Step 3: Cross multiply
    596.40x = 894.60 × 565.20
  4. Step 4: Simplify right side
    596.40x = 505,627.92
  5. Step 5: Solve for x
    x = 505,627.92/596.40
  6. Step 6: Final answer
    x = 847.80

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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.