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Finding the Fourth Proportional to 1,737.14, 2,603.88 and 640.80

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Solution

The fourth proportional to 1,737.14, 2,603.88 and 640.80 is: 960.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.14 : 2,603.88 = 640.80 : x
  2. Step 2: Convert to fraction form
    1,737.14/2,603.88 = 640.80/x
  3. Step 3: Cross multiply
    1,737.14x = 2,603.88 × 640.80
  4. Step 4: Simplify right side
    1,737.14x = 1,668,566.30
  5. Step 5: Solve for x
    x = 1,668,566.30/1,737.14
  6. Step 6: Final answer
    x = 960.52

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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.