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Finding the Fourth Proportional to 637.73, 954.77 and 417.63

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Solution

The fourth proportional to 637.73, 954.77 and 417.63 is: 625.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    637.73 : 954.77 = 417.63 : x
  2. Step 2: Convert to fraction form
    637.73/954.77 = 417.63/x
  3. Step 3: Cross multiply
    637.73x = 954.77 × 417.63
  4. Step 4: Simplify right side
    637.73x = 398,738.51
  5. Step 5: Solve for x
    x = 398,738.51/637.73
  6. Step 6: Final answer
    x = 625.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.