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Finding the Fourth Proportional to 1,707.60, 2,556.60 and 1,534.80

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Solution

The fourth proportional to 1,707.60, 2,556.60 and 1,534.80 is: 2,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,707.60 : 2,556.60 = 1,534.80 : x
  2. Step 2: Convert to fraction form
    1,707.60/2,556.60 = 1,534.80/x
  3. Step 3: Cross multiply
    1,707.60x = 2,556.60 × 1,534.80
  4. Step 4: Simplify right side
    1,707.60x = 3,923,869.68
  5. Step 5: Solve for x
    x = 3,923,869.68/1,707.60
  6. Step 6: Final answer
    x = 2,297.89

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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.