Home / 1,222.68-1,688.10-942.42

Finding the Fourth Proportional to 1,222.68, 1,688.10 and 942.42

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Solution

The fourth proportional to 1,222.68, 1,688.10 and 942.42 is: 1,301.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,222.68 : 1,688.10 = 942.42 : x
  2. Step 2: Convert to fraction form
    1,222.68/1,688.10 = 942.42/x
  3. Step 3: Cross multiply
    1,222.68x = 1,688.10 × 942.42
  4. Step 4: Simplify right side
    1,222.68x = 1,590,899.20
  5. Step 5: Solve for x
    x = 1,590,899.20/1,222.68
  6. Step 6: Final answer
    x = 1,301.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.