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Finding the Fourth Proportional to 1,743.09, 2,612.80 and 572.79

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Solution

The fourth proportional to 1,743.09, 2,612.80 and 572.79 is: 858.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,743.09 : 2,612.80 = 572.79 : x
  2. Step 2: Convert to fraction form
    1,743.09/2,612.80 = 572.79/x
  3. Step 3: Cross multiply
    1,743.09x = 2,612.80 × 572.79
  4. Step 4: Simplify right side
    1,743.09x = 1,496,585.71
  5. Step 5: Solve for x
    x = 1,496,585.71/1,743.09
  6. Step 6: Final answer
    x = 858.58

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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.