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Finding the Fourth Proportional to 1,242.10, 1,861.14 and 657.07

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Solution

The fourth proportional to 1,242.10, 1,861.14 and 657.07 is: 984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242.10 : 1,861.14 = 657.07 : x
  2. Step 2: Convert to fraction form
    1,242.10/1,861.14 = 657.07/x
  3. Step 3: Cross multiply
    1,242.10x = 1,861.14 × 657.07
  4. Step 4: Simplify right side
    1,242.10x = 1,222,899.26
  5. Step 5: Solve for x
    x = 1,222,899.26/1,242.10
  6. Step 6: Final answer
    x = 984.54

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1.5x scale

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.