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Finding the Fourth Proportional to 1,805.62, 2,708.77 and 572.70

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Solution

The fourth proportional to 1,805.62, 2,708.77 and 572.70 is: 859.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,805.62 : 2,708.77 = 572.70 : x
  2. Step 2: Convert to fraction form
    1,805.62/2,708.77 = 572.70/x
  3. Step 3: Cross multiply
    1,805.62x = 2,708.77 × 572.70
  4. Step 4: Simplify right side
    1,805.62x = 1,551,312.58
  5. Step 5: Solve for x
    x = 1,551,312.58/1,805.62
  6. Step 6: Final answer
    x = 859.16

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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.