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Finding the Fourth Proportional to 647.47, 893.01 and 451.45

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Solution

The fourth proportional to 647.47, 893.01 and 451.45 is: 622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    647.47 : 893.01 = 451.45 : x
  2. Step 2: Convert to fraction form
    647.47/893.01 = 451.45/x
  3. Step 3: Cross multiply
    647.47x = 893.01 × 451.45
  4. Step 4: Simplify right side
    647.47x = 403,149.36
  5. Step 5: Solve for x
    x = 403,149.36/647.47
  6. Step 6: Final answer
    x = 622.65

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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.