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Finding the Fourth Proportional to 461.58, 696.07 and 455.40

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Solution

The fourth proportional to 461.58, 696.07 and 455.40 is: 686.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.58 : 696.07 = 455.40 : x
  2. Step 2: Convert to fraction form
    461.58/696.07 = 455.40/x
  3. Step 3: Cross multiply
    461.58x = 696.07 × 455.40
  4. Step 4: Simplify right side
    461.58x = 316,990.85
  5. Step 5: Solve for x
    x = 316,990.85/461.58
  6. Step 6: Final answer
    x = 686.76

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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.