Home / 1,660.56-2,291.64-962.16

Finding the Fourth Proportional to 1,660.56, 2,291.64 and 962.16

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Solution

The fourth proportional to 1,660.56, 2,291.64 and 962.16 is: 1,327.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.56 : 2,291.64 = 962.16 : x
  2. Step 2: Convert to fraction form
    1,660.56/2,291.64 = 962.16/x
  3. Step 3: Cross multiply
    1,660.56x = 2,291.64 × 962.16
  4. Step 4: Simplify right side
    1,660.56x = 2,204,924.34
  5. Step 5: Solve for x
    x = 2,204,924.34/1,660.56
  6. Step 6: Final answer
    x = 1,327.82

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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.