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Finding the Fourth Proportional to 657.10, 991.74 and 657.10

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Solution

The fourth proportional to 657.10, 991.74 and 657.10 is: 991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.10 : 991.74 = 657.10 : x
  2. Step 2: Convert to fraction form
    657.10/991.74 = 657.10/x
  3. Step 3: Cross multiply
    657.10x = 991.74 × 657.10
  4. Step 4: Simplify right side
    657.10x = 651,669.07
  5. Step 5: Solve for x
    x = 651,669.07/657.10
  6. Step 6: Final answer
    x = 991.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.