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Finding the Fourth Proportional to 596.40, 822.80 and 456.37

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Solution

The fourth proportional to 596.40, 822.80 and 456.37 is: 629.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.40 : 822.80 = 456.37 : x
  2. Step 2: Convert to fraction form
    596.40/822.80 = 456.37/x
  3. Step 3: Cross multiply
    596.40x = 822.80 × 456.37
  4. Step 4: Simplify right side
    596.40x = 375,501.24
  5. Step 5: Solve for x
    x = 375,501.24/596.40
  6. Step 6: Final answer
    x = 629.61

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.