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Finding the Fourth Proportional to 455.06, 686.66 and 455.06

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Solution

The fourth proportional to 455.06, 686.66 and 455.06 is: 686.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    455.06 : 686.66 = 455.06 : x
  2. Step 2: Convert to fraction form
    455.06/686.66 = 455.06/x
  3. Step 3: Cross multiply
    455.06x = 686.66 × 455.06
  4. Step 4: Simplify right side
    455.06x = 312,471.50
  5. Step 5: Solve for x
    x = 312,471.50/455.06
  6. Step 6: Final answer
    x = 686.66

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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.