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Finding the Fourth Proportional to 511.58, 705.72 and 324.75

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Solution

The fourth proportional to 511.58, 705.72 and 324.75 is: 447.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.58 : 705.72 = 324.75 : x
  2. Step 2: Convert to fraction form
    511.58/705.72 = 324.75/x
  3. Step 3: Cross multiply
    511.58x = 705.72 × 324.75
  4. Step 4: Simplify right side
    511.58x = 229,182.57
  5. Step 5: Solve for x
    x = 229,182.57/511.58
  6. Step 6: Final answer
    x = 447.99

Related Problems

Find fourth proportional to 255.79, 352.86 and 162.38
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Double scale
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Similar ratio
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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.