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Finding the Fourth Proportional to 1,720.42, 2,580.64 and 421.88

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Solution

The fourth proportional to 1,720.42, 2,580.64 and 421.88 is: 632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.42 : 2,580.64 = 421.88 : x
  2. Step 2: Convert to fraction form
    1,720.42/2,580.64 = 421.88/x
  3. Step 3: Cross multiply
    1,720.42x = 2,580.64 × 421.88
  4. Step 4: Simplify right side
    1,720.42x = 1,088,720.40
  5. Step 5: Solve for x
    x = 1,088,720.40/1,720.42
  6. Step 6: Final answer
    x = 632.82

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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.