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Finding the Fourth Proportional to 1,709.88, 2,564 and 613.94

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Solution

The fourth proportional to 1,709.88, 2,564 and 613.94 is: 920.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,709.88 : 2,564 = 613.94 : x
  2. Step 2: Convert to fraction form
    1,709.88/2,564 = 613.94/x
  3. Step 3: Cross multiply
    1,709.88x = 2,564 × 613.94
  4. Step 4: Simplify right side
    1,709.88x = 1,574,142.16
  5. Step 5: Solve for x
    x = 1,574,142.16/1,709.88
  6. Step 6: Final answer
    x = 920.62

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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.