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Finding the Fourth Proportional to 411.64, 566.86 and 403.12

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Solution

The fourth proportional to 411.64, 566.86 and 403.12 is: 555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.64 : 566.86 = 403.12 : x
  2. Step 2: Convert to fraction form
    411.64/566.86 = 403.12/x
  3. Step 3: Cross multiply
    411.64x = 566.86 × 403.12
  4. Step 4: Simplify right side
    411.64x = 228,512.60
  5. Step 5: Solve for x
    x = 228,512.60/411.64
  6. Step 6: Final answer
    x = 555.13

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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.