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Finding the Fourth Proportional to 1,090.64, 1,628.74 and 958.16

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Solution

The fourth proportional to 1,090.64, 1,628.74 and 958.16 is: 1,430.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,090.64 : 1,628.74 = 958.16 : x
  2. Step 2: Convert to fraction form
    1,090.64/1,628.74 = 958.16/x
  3. Step 3: Cross multiply
    1,090.64x = 1,628.74 × 958.16
  4. Step 4: Simplify right side
    1,090.64x = 1,560,593.52
  5. Step 5: Solve for x
    x = 1,560,593.52/1,090.64
  6. Step 6: Final answer
    x = 1,430.90

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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.