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Finding the Fourth Proportional to 1,721.49, 2,582.76 and 625.86

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Solution

The fourth proportional to 1,721.49, 2,582.76 and 625.86 is: 938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,721.49 : 2,582.76 = 625.86 : x
  2. Step 2: Convert to fraction form
    1,721.49/2,582.76 = 625.86/x
  3. Step 3: Cross multiply
    1,721.49x = 2,582.76 × 625.86
  4. Step 4: Simplify right side
    1,721.49x = 1,616,446.17
  5. Step 5: Solve for x
    x = 1,616,446.17/1,721.49
  6. Step 6: Final answer
    x = 938.98

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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.