Home / 1,659.28-2,289.76-913.24

Finding the Fourth Proportional to 1,659.28, 2,289.76 and 913.24

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Solution

The fourth proportional to 1,659.28, 2,289.76 and 913.24 is: 1,260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,659.28 : 2,289.76 = 913.24 : x
  2. Step 2: Convert to fraction form
    1,659.28/2,289.76 = 913.24/x
  3. Step 3: Cross multiply
    1,659.28x = 2,289.76 × 913.24
  4. Step 4: Simplify right side
    1,659.28x = 2,091,100.42
  5. Step 5: Solve for x
    x = 2,091,100.42/1,659.28
  6. Step 6: Final answer
    x = 1,260.25

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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.