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Finding the Fourth Proportional to 1,707.28, 2,560.26 and 611.56

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Solution

The fourth proportional to 1,707.28, 2,560.26 and 611.56 is: 917.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.28 : 2,560.26 = 611.56 : x
  2. Step 2: Convert to fraction form
    1,707.28/2,560.26 = 611.56/x
  3. Step 3: Cross multiply
    1,707.28x = 2,560.26 × 611.56
  4. Step 4: Simplify right side
    1,707.28x = 1,565,752.61
  5. Step 5: Solve for x
    x = 1,565,752.61/1,707.28
  6. Step 6: Final answer
    x = 917.10

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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.