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Finding the Fourth Proportional to 1,174, 1,761 and 490

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Solution

The fourth proportional to 1,174, 1,761 and 490 is: 735

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,174 : 1,761 = 490 : x
  2. Step 2: Convert to fraction form
    1,174/1,761 = 490/x
  3. Step 3: Cross multiply
    1,174x = 1,761 × 490
  4. Step 4: Simplify right side
    1,174x = 862,890
  5. Step 5: Solve for x
    x = 862,890/1,174
  6. Step 6: Final answer
    x = 735

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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.