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Finding the Fourth Proportional to 657.05, 980.30 and 617.63

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Solution

The fourth proportional to 657.05, 980.30 and 617.63 is: 921.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.05 : 980.30 = 617.63 : x
  2. Step 2: Convert to fraction form
    657.05/980.30 = 617.63/x
  3. Step 3: Cross multiply
    657.05x = 980.30 × 617.63
  4. Step 4: Simplify right side
    657.05x = 605,459.33
  5. Step 5: Solve for x
    x = 605,459.33/657.05
  6. Step 6: Final answer
    x = 921.49

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.