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Finding the Fourth Proportional to 460.10, 687.24 and 433.45

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Solution

The fourth proportional to 460.10, 687.24 and 433.45 is: 647.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.10 : 687.24 = 433.45 : x
  2. Step 2: Convert to fraction form
    460.10/687.24 = 433.45/x
  3. Step 3: Cross multiply
    460.10x = 687.24 × 433.45
  4. Step 4: Simplify right side
    460.10x = 297,884.18
  5. Step 5: Solve for x
    x = 297,884.18/460.10
  6. Step 6: Final answer
    x = 647.43

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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.