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Finding the Fourth Proportional to 647.07, 891.45 and 450.24

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Solution

The fourth proportional to 647.07, 891.45 and 450.24 is: 620.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.07 : 891.45 = 450.24 : x
  2. Step 2: Convert to fraction form
    647.07/891.45 = 450.24/x
  3. Step 3: Cross multiply
    647.07x = 891.45 × 450.24
  4. Step 4: Simplify right side
    647.07x = 401,366.45
  5. Step 5: Solve for x
    x = 401,366.45/647.07
  6. Step 6: Final answer
    x = 620.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.