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Finding the Fourth Proportional to 657.80, 986.70 and 601.10

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Solution

The fourth proportional to 657.80, 986.70 and 601.10 is: 901.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.80 : 986.70 = 601.10 : x
  2. Step 2: Convert to fraction form
    657.80/986.70 = 601.10/x
  3. Step 3: Cross multiply
    657.80x = 986.70 × 601.10
  4. Step 4: Simplify right side
    657.80x = 593,105.37
  5. Step 5: Solve for x
    x = 593,105.37/657.80
  6. Step 6: Final answer
    x = 901.65

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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.