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Finding the Fourth Proportional to 1,668.28, 2,499.68 and 572.05

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Solution

The fourth proportional to 1,668.28, 2,499.68 and 572.05 is: 857.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,668.28 : 2,499.68 = 572.05 : x
  2. Step 2: Convert to fraction form
    1,668.28/2,499.68 = 572.05/x
  3. Step 3: Cross multiply
    1,668.28x = 2,499.68 × 572.05
  4. Step 4: Simplify right side
    1,668.28x = 1,429,941.94
  5. Step 5: Solve for x
    x = 1,429,941.94/1,668.28
  6. Step 6: Final answer
    x = 857.14

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1.5x scale

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.