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Finding the Fourth Proportional to 455.60, 686.58 and 412.31

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Solution

The fourth proportional to 455.60, 686.58 and 412.31 is: 621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.60 : 686.58 = 412.31 : x
  2. Step 2: Convert to fraction form
    455.60/686.58 = 412.31/x
  3. Step 3: Cross multiply
    455.60x = 686.58 × 412.31
  4. Step 4: Simplify right side
    455.60x = 283,081.91
  5. Step 5: Solve for x
    x = 283,081.91/455.60
  6. Step 6: Final answer
    x = 621.34

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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.