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Finding the Fourth Proportional to 458.60, 686.48 and 409.36

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Solution

The fourth proportional to 458.60, 686.48 and 409.36 is: 612.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.60 : 686.48 = 409.36 : x
  2. Step 2: Convert to fraction form
    458.60/686.48 = 409.36/x
  3. Step 3: Cross multiply
    458.60x = 686.48 × 409.36
  4. Step 4: Simplify right side
    458.60x = 281,017.45
  5. Step 5: Solve for x
    x = 281,017.45/458.60
  6. Step 6: Final answer
    x = 612.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.