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Finding the Fourth Proportional to 1,709.29, 2,563.53 and 613.63

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Solution

The fourth proportional to 1,709.29, 2,563.53 and 613.63 is: 920.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.29 : 2,563.53 = 613.63 : x
  2. Step 2: Convert to fraction form
    1,709.29/2,563.53 = 613.63/x
  3. Step 3: Cross multiply
    1,709.29x = 2,563.53 × 613.63
  4. Step 4: Simplify right side
    1,709.29x = 1,573,058.91
  5. Step 5: Solve for x
    x = 1,573,058.91/1,709.29
  6. Step 6: Final answer
    x = 920.30

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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.