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Finding the Fourth Proportional to 591.41, 816.16 and 325.86

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Solution

The fourth proportional to 591.41, 816.16 and 325.86 is: 449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.41 : 816.16 = 325.86 : x
  2. Step 2: Convert to fraction form
    591.41/816.16 = 325.86/x
  3. Step 3: Cross multiply
    591.41x = 816.16 × 325.86
  4. Step 4: Simplify right side
    591.41x = 265,953.08
  5. Step 5: Solve for x
    x = 265,953.08/591.41
  6. Step 6: Final answer
    x = 449.70

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Half scale
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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.