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Finding the Fourth Proportional to 461.76, 695.78 and 412.02

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Solution

The fourth proportional to 461.76, 695.78 and 412.02 is: 620.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.76 : 695.78 = 412.02 : x
  2. Step 2: Convert to fraction form
    461.76/695.78 = 412.02/x
  3. Step 3: Cross multiply
    461.76x = 695.78 × 412.02
  4. Step 4: Simplify right side
    461.76x = 286,675.28
  5. Step 5: Solve for x
    x = 286,675.28/461.76
  6. Step 6: Final answer
    x = 620.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.