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Finding the Fourth Proportional to 1,719.76, 2,579.65 and 421.23

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Solution

The fourth proportional to 1,719.76, 2,579.65 and 421.23 is: 631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,719.76 : 2,579.65 = 421.23 : x
  2. Step 2: Convert to fraction form
    1,719.76/2,579.65 = 421.23/x
  3. Step 3: Cross multiply
    1,719.76x = 2,579.65 × 421.23
  4. Step 4: Simplify right side
    1,719.76x = 1,086,615.24
  5. Step 5: Solve for x
    x = 1,086,615.24/1,719.76
  6. Step 6: Final answer
    x = 631.84

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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.