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Finding the Fourth Proportional to 460.62, 686.48 and 445.02

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Solution

The fourth proportional to 460.62, 686.48 and 445.02 is: 663.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.62 : 686.48 = 445.02 : x
  2. Step 2: Convert to fraction form
    460.62/686.48 = 445.02/x
  3. Step 3: Cross multiply
    460.62x = 686.48 × 445.02
  4. Step 4: Simplify right side
    460.62x = 305,495.10
  5. Step 5: Solve for x
    x = 305,495.10/460.62
  6. Step 6: Final answer
    x = 663.23

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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.