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Finding the Fourth Proportional to 412.76, 569.61 and 324.35

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Solution

The fourth proportional to 412.76, 569.61 and 324.35 is: 447.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    412.76 : 569.61 = 324.35 : x
  2. Step 2: Convert to fraction form
    412.76/569.61 = 324.35/x
  3. Step 3: Cross multiply
    412.76x = 569.61 × 324.35
  4. Step 4: Simplify right side
    412.76x = 184,753.00
  5. Step 5: Solve for x
    x = 184,753.00/412.76
  6. Step 6: Final answer
    x = 447.60

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Find fourth proportional to 206.38, 284.81 and 162.18
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Double scale
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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.