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Finding the Fourth Proportional to 1,668.21, 2,500.57 and 572.19

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Solution

The fourth proportional to 1,668.21, 2,500.57 and 572.19 is: 857.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.21 : 2,500.57 = 572.19 : x
  2. Step 2: Convert to fraction form
    1,668.21/2,500.57 = 572.19/x
  3. Step 3: Cross multiply
    1,668.21x = 2,500.57 × 572.19
  4. Step 4: Simplify right side
    1,668.21x = 1,430,801.15
  5. Step 5: Solve for x
    x = 1,430,801.15/1,668.21
  6. Step 6: Final answer
    x = 857.69

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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.