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Finding the Fourth Proportional to 460.72, 686.98 and 455.05

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Solution

The fourth proportional to 460.72, 686.98 and 455.05 is: 678.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.72 : 686.98 = 455.05 : x
  2. Step 2: Convert to fraction form
    460.72/686.98 = 455.05/x
  3. Step 3: Cross multiply
    460.72x = 686.98 × 455.05
  4. Step 4: Simplify right side
    460.72x = 312,610.25
  5. Step 5: Solve for x
    x = 312,610.25/460.72
  6. Step 6: Final answer
    x = 678.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.