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Finding the Fourth Proportional to 455.36, 686.08 and 412.07

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Solution

The fourth proportional to 455.36, 686.08 and 412.07 is: 620.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.36 : 686.08 = 412.07 : x
  2. Step 2: Convert to fraction form
    455.36/686.08 = 412.07/x
  3. Step 3: Cross multiply
    455.36x = 686.08 × 412.07
  4. Step 4: Simplify right side
    455.36x = 282,712.77
  5. Step 5: Solve for x
    x = 282,712.77/455.36
  6. Step 6: Final answer
    x = 620.86

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