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Finding the Fourth Proportional to 1,737.38, 2,605.80 and 641.50

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Solution

The fourth proportional to 1,737.38, 2,605.80 and 641.50 is: 962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,737.38 : 2,605.80 = 641.50 : x
  2. Step 2: Convert to fraction form
    1,737.38/2,605.80 = 641.50/x
  3. Step 3: Cross multiply
    1,737.38x = 2,605.80 × 641.50
  4. Step 4: Simplify right side
    1,737.38x = 1,671,620.70
  5. Step 5: Solve for x
    x = 1,671,620.70/1,737.38
  6. Step 6: Final answer
    x = 962.15

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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.