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Finding the Fourth Proportional to 657.95, 982.10 and 580.10

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Solution

The fourth proportional to 657.95, 982.10 and 580.10 is: 865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.95 : 982.10 = 580.10 : x
  2. Step 2: Convert to fraction form
    657.95/982.10 = 580.10/x
  3. Step 3: Cross multiply
    657.95x = 982.10 × 580.10
  4. Step 4: Simplify right side
    657.95x = 569,711.12
  5. Step 5: Solve for x
    x = 569,711.12/657.95
  6. Step 6: Final answer
    x = 865.89

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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.