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Finding the Fourth Proportional to 462.31, 696.58 and 412.58

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Solution

The fourth proportional to 462.31, 696.58 and 412.58 is: 621.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    462.31 : 696.58 = 412.58 : x
  2. Step 2: Convert to fraction form
    462.31/696.58 = 412.58/x
  3. Step 3: Cross multiply
    462.31x = 696.58 × 412.58
  4. Step 4: Simplify right side
    462.31x = 287,395.69
  5. Step 5: Solve for x
    x = 287,395.69/462.31
  6. Step 6: Final answer
    x = 621.65

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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.