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Finding the Fourth Proportional to 1,715.43, 2,573.12 and 416.90

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Solution

The fourth proportional to 1,715.43, 2,573.12 and 416.90 is: 625.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,715.43 : 2,573.12 = 416.90 : x
  2. Step 2: Convert to fraction form
    1,715.43/2,573.12 = 416.90/x
  3. Step 3: Cross multiply
    1,715.43x = 2,573.12 × 416.90
  4. Step 4: Simplify right side
    1,715.43x = 1,072,718.78
  5. Step 5: Solve for x
    x = 1,072,718.78/1,715.43
  6. Step 6: Final answer
    x = 625.34

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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.