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Finding the Fourth Proportional to 622.31, 929.59 and 460.31

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Solution

The fourth proportional to 622.31, 929.59 and 460.31 is: 687.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.31 : 929.59 = 460.31 : x
  2. Step 2: Convert to fraction form
    622.31/929.59 = 460.31/x
  3. Step 3: Cross multiply
    622.31x = 929.59 × 460.31
  4. Step 4: Simplify right side
    622.31x = 427,893.77
  5. Step 5: Solve for x
    x = 427,893.77/622.31
  6. Step 6: Final answer
    x = 687.59

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.