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Finding the Fourth Proportional to 1,720.08, 2,578.59 and 624.20

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Solution

The fourth proportional to 1,720.08, 2,578.59 and 624.20 is: 935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,720.08 : 2,578.59 = 624.20 : x
  2. Step 2: Convert to fraction form
    1,720.08/2,578.59 = 624.20/x
  3. Step 3: Cross multiply
    1,720.08x = 2,578.59 × 624.20
  4. Step 4: Simplify right side
    1,720.08x = 1,609,542.99
  5. Step 5: Solve for x
    x = 1,609,542.99/1,720.08
  6. Step 6: Final answer
    x = 935.74

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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.