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Finding the Fourth Proportional to 657.58, 906.51 and 460.48

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Solution

The fourth proportional to 657.58, 906.51 and 460.48 is: 634.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.58 : 906.51 = 460.48 : x
  2. Step 2: Convert to fraction form
    657.58/906.51 = 460.48/x
  3. Step 3: Cross multiply
    657.58x = 906.51 × 460.48
  4. Step 4: Simplify right side
    657.58x = 417,429.72
  5. Step 5: Solve for x
    x = 417,429.72/657.58
  6. Step 6: Final answer
    x = 634.80

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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.