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Finding the Fourth Proportional to 511.59, 705.74 and 324.77

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Solution

The fourth proportional to 511.59, 705.74 and 324.77 is: 448.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.59 : 705.74 = 324.77 : x
  2. Step 2: Convert to fraction form
    511.59/705.74 = 324.77/x
  3. Step 3: Cross multiply
    511.59x = 705.74 × 324.77
  4. Step 4: Simplify right side
    511.59x = 229,198.03
  5. Step 5: Solve for x
    x = 229,198.03/511.59
  6. Step 6: Final answer
    x = 448.01

Related Problems

Find fourth proportional to 255.80, 352.87 and 162.38
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Double scale
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Similar ratio
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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.